What board dimensions does ChessV allow, and is that determined by the total number of squares or are there strict limits on the width and height?
Both. You are limited to a maximum of 16 files and 16 ranks. But there is also a limit of 192 squares, so you can't really get 16x16. The largest size is essentially 16x12 or 12x16. Someday this might be increased, but not any time soon. Going to 16x16 would not be too large a code change, but it would have a performance cost for every game, even small ones.
Both. You are limited to a maximum of 16 files and 16 ranks. But there is also a limit of 192 squares, so you can't really get 16x16. The largest size is essentially 16x12 or 12x16. Someday this might be increased, but not any time soon. Going to 16x16 would not be too large a code change, but it would have a performance cost for every game, even small ones.