@ mainstream
OK, Here we go. Yes the ${goto}'s play a huge role in this:
Here we go with own_window_transparent no and no image:

Started by deleting ALL ${goto 30}'s in the weather section and changing all ${goto 80}'s to ${goto 55}. Combined 2 lines like these to one line by adding a \ at the end of the first line:
${font conkyweather:size=28}${execi 600 sed -n '2p' ~/accuweather_conky_modified/tod_ton}${font}\
${voffset -20}${goto 55}${color1}${execpi 600 sed -n '1p' $HOME/accuweather_conky_modified/tod_ton}: ${execpi 600 sed -n '4p' $HOME/accuweather_conky_modified/tod_ton}°C/${execpi 600 sed -n '5p' $HOME/accuweather_conky_modified/tod_ton}°C
Means the ${voffset -40}'s were changed to ${voffset -20} and made spacing a whole bunch easier all around ... you'll see at the end. Each section still has a blank line to keep the weather font spaces nicely.
I set the default font to:
xftfont Ubuntu:bold:size=8
you had:
that was not used in the entire script.
That meant I stripped out every:
${font Ubuntu:style=Bold:size=8
under TEXT along with the matching ${font}
I also changed:
${font Ubuntu:style=Bold:size=9}
to:
${font Ubuntu:bold:size=9}
for uniformity, they both work.
Once that was done I added your image to the end of the first line after TEXT. ${image} commands can go anywhere because they are positioned by the -p call so I RARELY use a line just for images:
TEXT
${voffset 7}${alignc 3}${font Ubuntu:bold:size=9}${time %a - %d %B}${font}${image ~/accuweather_conky_modified/BG.png -p 35,0 -s 170x530}
Yes, I could have used the blank line after TEXT but you had that there to show you wanted the date lower. Me I would have used two blank lines and deleted the ${voffset 7}.
I should not that some thing above TEXT changed too:
#############################
# - Window specifications - #
#############################
own_window_class Conky
own_window_type conky
own_window yes
own_window_type override ### Added this!
own_window_transparent yes
own_window_hints undecorated,below,sticky,skip_taskbar,skip_pager
#own_window_argb_visual yes
#own_window_argb_value 100
alignment br
gap_x 10 # left-right
gap_y 200 # up-down
# minimum_size 190 380 ### Changed this to what's below.
minimum_size 200 560 ## width, height
maximum_width 200 ## width, usually a good idea to equal minimum width

Since I have "eth0" I see the arrows, out of place ... so on those lines I simply added three spaces before the change in font and size.
${voffset -8} ${color0}${font VariShapes Solid:size=14}Q${font}
to place them about centre with the weather font images.
VERY NICE! I like the icon outside the box look!
But I promised options.....
Enter: the super background script, by londonali1010, dk75 and mrpeachy: draw-bg.lua

Removed the background image and setup the LUA background - totally configurable on the command like - no need to edit the LUA script itself.
You may think, OK, nice but it's not over.....
FOR TODAY ONLY: A two for one special ... use the script twice:
lua_load ~/Conky/LUA/draw-bg.lua
lua_draw_hook_post draw_bg 20 45 10 160 500 0x000000 0.1
lua_draw_hook_pre draw_bg 20 0 10 205 500 0x000000 0.4

Yea, that looks really good too!
Again my thanks to londonali1010, dk75 and mrprachy for a super background LUA script.
Oh my ... and I'm not finished! Look at this: COLOURS!!!! It does colours!

While we can use the script twice when not using a composite manager, with the _pre and _post calls, it can be use multiple times with a composite manager by using a part above text and multiple parts below text.
Here's the conky with the double LUA in the original way. Don't want the LUA background, comment it out and add the background image as seen in the code:
# killall conky && conky -c ~/accuweather_conky_modified/mainstream.conky &
######################
# - Conky settings - #
######################
update_interval 1
total_run_times 0
net_avg_samples 1
cpu_avg_samples 1
imlib_cache_size 0
double_buffer yes
no_buffers yes
#####################
# - Text settings - #
#####################
use_xft yes
xftfont Ubuntu:bold:size=8
override_utf8_locale yes
text_buffer_size 2048
#############################
# - Window specifications - #
#############################
own_window_class Conky
own_window_type conky
own_window yes
own_window_type override
own_window_transparent yes
own_window_hints undecorated,below,sticky,skip_taskbar,skip_pager
#own_window_argb_visual yes
#own_window_argb_value 100
alignment br
gap_x 10 # left-right
gap_y 200 # up-down
# minimum_size 190 380
minimum_size 200 560 ## width, height
maximum_width 200 ## width, usually a good idea to equal minimum width
default_bar_size 120 8
#########################
# - Graphics settings - #
#########################
draw_shades no
default_color efefef
default_shade_color 1d1d1d
color0 ffffff
color1 ffffff
color2 ffffff
### LUA Settings ###########################################################
##
## Above and After TEXT - requires a composite manager or blinks.
## --------------------
# lua_load ~/Conky/LUA/draw-bg.lua
#TEXT
#${lua conky_draw_bg 10 0 0 0 0 0x000000 0.6}
#
## ${lua conky_draw_bg corner_radius x_position y_position width height color alpha}
##
## OR Both above TEXT (No composite manager required - no blinking!)
## ------------------
lua_load ~/Conky/LUA/draw-bg.lua
lua_draw_hook_post draw_bg 20 45 10 160 500 0x000000 0.1
lua_draw_hook_pre draw_bg 20 0 10 205 500 0x000000 0.4
#
##
####################################################### End LUA Settings ###
##${image ~/accuweather_conky_modified/BG.png -p 35,0 -s 170x530}
TEXT
${voffset 7}${alignc 3}${font Ubuntu:bold:size=9}${time %a - %d %B}${font}
${voffset -3}${goto 55}${font Ubuntu:bold:size=9}SYSTEM:${font}
${goto 55}Kernel: ${color1}${alignr 25}${kernel}
${goto 55}Root: ${color1}${alignr 25}${fs_free /}/${fs_size /}
${goto 55}${fs_bar 3,130 /}
${goto 55}Uptime: ${color1}${alignr 25}${uptime}
${goto 55}CPU1: ${color1}${cpu cpu1}% ${alignr 25}${font Ubuntu:bold:size=9}${color1}${execi 30 sensors | grep 'Core0' | cut -c15-16}°C${color}${font}
${goto 55}CPU2: ${color1}${cpu cpu2}% ${alignr 25}${font Ubuntu:bold:size=9}${color1}${execi 30 sensors | grep 'Core1' | cut -c15-16}°C${color}${font}
${goto 55}RAM: ${memperc}%
${goto 55}F: ${color2}${memeasyfree} ${color} U: ${color2}${mem}${color}
${goto 55}${font Ubuntu:bold:size=9}NETWORK: ${font}
${if_up wlan0}
${voffset -10}${goto 55}${voffset -6}Up: ${font Ubuntu:bold:size=9}${color1}${upspeed wlan0}${color}${font} ${alignr 15}
${goto 55}Total: ${color2}${totalup wlan0}${color}
${goto 55}Down: ${font Ubuntu:bold:size=9}${color1}${downspeed wlan0}${color}${font} ${alignr 15}
${goto 55}Total: ${color2}${totaldown wlan0}${color}
${goto 55}Signal: ${font Ubuntu:bold:size=9}${color1}${wireless_link_qual wlan0}%${color}${font} ${alignr 15}
# |--ETH0
${else}${if_up eth0}${voffset -7.5} ${color0}${font VariShapes Solid:size=14}q${font}${color}${goto 55}${voffset -6}Up: ${font Ubuntu:bold:size=9}${color1}${upspeed eth0}${color}${font} ${alignr 15}${color2}${upspeedgraph eth0 8,60 92B6F1 CCDFFF}${color}
${goto 55}Total: ${color2}${totalup eth0}${color}
${voffset -8} ${color0}${font VariShapes Solid:size=14}Q${font}${color}${goto 55}${voffset -6}Down: ${font Ubuntu:bold:size=9}${color1}${downspeed eth0}${color}${font} ${alignr 15}${color2}${downspeedgraph eth0 8,60 92B6F1 CCDFFF}${color}
${goto 55}Total: ${color2}${totaldown eth0}${color}
# |--PPP0
${endif}${else}${if_up ppp0}${voffset -13}${color0}${font VariShapes Solid:size=14}q${font}${color}${goto 55}${voffset -6}Up: ${font Ubuntu:bold:size=9}${color1}${upspeed ppp0}${color}${font} ${alignr 15}${color2}${upspeedgraph ppp0 8,60 92B6F1 CCDFFF}${color}
${goto 55}Total: ${color2}${totalup ppp0}${color}
${voffset -2}${color0}${font VariShapes Solid:size=14}Q${font}${color}${goto 55}${voffset -6}Down: ${font Ubuntu:bold:size=9}${color1}${downspeed ppp0}${color}${font} ${alignr 15}${color2}${downspeedgraph ppp0 8,60 92B6F1 CCDFFF}${color}
${goto 55}Total: ${color2}${totaldown ppp0}${color}
${voffset -2}${color0}${font Poky:size=13}w${font}${color}${goto 55}${voffset -4}Local IP: ${alignr 15}${color2}${addr ppp0}${color}
${endif}${else}${voffset 4}${color0}${font PizzaDude Bullets:size=12}4${font}${color}${goto 55}Netzwerk nicht verfügbar${endif}${endif}
${goto 55}${font Ubuntu:bold:size=9}WEATHER:${font}${execi 600 bash $HOME/accuweather_conky_modified/accuw_script}
${font conkyweather:size=28}${execi 600 sed -n '2p' ~/accuweather_conky_modified/curr_cond}${font}\
${voffset -15}${goto 55}${color1}CURRENT: ${execpi 600 sed -n '4p' $HOME/accuweather_conky_modified/curr_cond}°C
${goto 55}${execpi 600 sed -n '3p' $HOME/accuweather_conky_modified/curr_cond|fold -w30}
${font conkyweather:size=28}${execi 600 sed -n '2p' ~/accuweather_conky_modified/tod_ton}${font}\
${voffset -20}${goto 55}${color1}${execpi 600 sed -n '1p' $HOME/accuweather_conky_modified/tod_ton}: ${execpi 600 sed -n '4p' $HOME/accuweather_conky_modified/tod_ton}°C/${execpi 600 sed -n '5p' $HOME/accuweather_conky_modified/tod_ton}°C
${goto 55}${execpi 600 sed -n '3p' $HOME/accuweather_conky_modified/tod_ton|fold -w30}
${font conkyweather:size=28}${execi 600 sed -n '7p' ~/accuweather_conky_modified/tod_ton}${font}\
${voffset -20}${goto 55}${color1}${execpi 600 sed -n '6p' $HOME/accuweather_conky_modified/tod_ton}: ${execpi 600 sed -n '9p' $HOME/accuweather_conky_modified/tod_ton}°C/${execpi 600 sed -n '10p' $HOME/accuweather_conky_modified/tod_ton}°C
${goto 55}${execpi 600 sed -n '8p' $HOME/accuweather_conky_modified/tod_ton|fold -w30}
${font conkyweather:size=28}${execi 600 sed -n '12p' ~/accuweather_conky_modified/tod_ton}${font}\
${voffset -20}${goto 55}${color1}${execpi 600 sed -n '11p' $HOME/accuweather_conky_modified/tod_ton}: ${execpi 600 sed -n '14p' $HOME/accuweather_conky_modified/tod_ton}°C/${execpi 600 sed -n '15p' $HOME/accuweather_conky_modified/tod_ton}°C
${goto 55}${execpi 600 sed -n '13p' $HOME/accuweather_conky_modified/tod_ton|fold -w30}
${font conkyweather:size=28}${execi 600 sed -n '17p' ~/accuweather_conky_modified/tod_ton}${font}\
${voffset -20}${goto 55}${color1}${execpi 600 sed -n '16p' $HOME/accuweather_conky_modified/tod_ton}: ${execpi 600 sed -n '19p' $HOME/accuweather_conky_modified/tod_ton}°C/${execpi 600 sed -n '20p' $HOME/accuweather_conky_modified/tod_ton}°C
${goto 55}${execpi 600 sed -n '18p' $HOME/accuweather_conky_modified/tod_ton|fold -w30}
${font conkyweather:size=28}${execi 600 sed -n '22p' ~/accuweather_conky_modified/tod_ton}${font}\
${voffset -20}${goto 55}${color1}${execpi 600 sed -n '21p' $HOME/accuweather_conky_modified/tod_ton}: ${execpi 600 sed -n '24p' $HOME/accuweather_conky_modified/tod_ton}°C/${execpi 600 sed -n '25p' $HOME/accuweather_conky_modified/tod_ton}°C
${goto 55}${execpi 600 sed -n '23p' $HOME/accuweather_conky_modified/tod_ton|fold -w30}
NOTE: If there was an error in the conky I have no idea, it's gone now, But the new "accuw_script" I was given is spitting out an error on the final day. What should read:
reads: