There's a logic error from assuming that because the rook is in its original position that the rook has not moved. Also I'm not sure if en passant is available if the pawn has moved from its home file, even if it subsequently moved back - so you can't assume either of these just by looking at the piece's position.
I think that you need one extra bit, that can contextually encode "rook has moved" or "en passant available".