Just noticed your question on the video cable.I have a similar problem.
On my nano the video cable plug (which is on the end of the cable and part of the print), is damaged by electrolysis.(w
In your case,you could try carefully overlapping the cable like splicing a piece of recording tape. Cable is not too short so a small overlap should not be a problem.Use superglue for the overlap and align accurately under a high power magnifier.Not sure but you may have to rub away the layer of varnish from the cable - to expose the bare metal.Paint on a small stripe of silver across all the tracks.When dry, carefully scratch out the spaces between the tracks and lacquer over.This is only a theory but worth looking at.
I guess you've looked through these guides(?):
From looking at it I'm not sure if the display data cable can be separated form the logicboard.
I don't see any spare cables, but possibly the logic board can be replaced.
An option could be to look for a used/broken iPod to use for spare parts.
- hope this might bring you a little further.