@1
You cannot win that: it is a known draw.
You can win the pawn, but then it is stalemate with the king in the corner.
With an a-, c-, f-, or h-pawn it is a draw.
With a b-, d-, e-, or g- pawn it is a win. The method is to force the king in front of his pawn with the queen and then advance the king until checkmate.
How to win in this position as black