[arqkyscc] Exchange for move

White removes a rook from the initial chess position; black removes a knight.  Essentially, we are attempting to counterbalance the first move advantage with a handicap of an exchange.  Is this fair?

Permit handicap castling with the nonexistent rook?

Get some Chess960-like randomness by randomly choosing which rook and which knight at the beginning of the game.  Are some combinations of removals better than others?  We can apply it directly to Chess960 to get 3840 possible starting positions or 7680 because color assignments can chosen randomly, too, if both colors actually are equal.