Three hours is rough for anything edible except maybe some lettuces...maybe, I've never tried to grow anything in that short of a window. I've grown it with 3 hours and dappled light, so it might work?
If you don't get super hot in there being in dead space between buildings, you might look into stuff that does okay indoors, since that's basically what you're working with.
As far as your stuff that doesn't drain, I would repot and make sure you've got a good draining soil, or put a layer of gravel at the bottom if you've enough room.