try this:
for computer icon (in windozs world) or home (in linux world)
kate ~/Desktop/home.desktop
paste this, save and exit kate:
[Desktop Entry]
Encoding=UTF-8
Name=Home
GenericName=Personal Files
URL[$e]=$HOME
Icon=user-home
Type=Link
for trash icon:
kate ~/Desktop/trash.desktop
paste this, save and exit kate:
[Desktop Entry]
Name=Trash
Comment=Contains removed files
Icon=user-trash-full
EmptyIcon=user-trash
Type=Link
URL=trash:/
OnlyShowIn=KDE;
result:
edit → another similar and way more easier approach is to open dolphin on desktop and drag home and trash to link it there