1 Black: no castling because of the white bishop.
White: the black knight disturbs white in both castlings.






2 Black: short side - the rook has already moved, long side - the white bishop disturbs.
White: short side - the black queen does not allow castling, long - no problem.






3 Black: the white knight disturbs the short castling.
White: The black knight and pawn do not allow castling.

4 Black: the king is in check - castling is not possible.
White: no obstacles in sight, unless you were immediately mated after the short castling (chess from the white bishop is not considered now).






5 Black: the king is in check - castling is not possible.
White: The black knight disturbs white on the short side.






6 Black: no castling because of the white bishop.
White: no castling because of the black bishop