Can you check the resistance between the black (whichever you'd like) wire on the selector switch and the white wire? How about black and red?
Your meter won't support signal tracing, but finding a meter with a 2V AC scale isn't super tough, and that can be used to figure out where things are dropping out.
Based on both channels not working properly, I'd be suspicious of wiring issues around the selector switch and balance pot.
Come to think of it, I looked back at your photos and didn't see anything showing the balance pot wiring, so posting a couple of pictures of that could be helpful.