Three Vaguely Interesting Bullet Puzzles

Sometimes, when it is late at night and I am not entirely sober/awake, I play bullet chess.  This is not something I'm particularly proud of, mind you, but occasionally entertaining things happen in the games.  Here's three puzzles to find the "best move" in each game (usually it leads to a rapid mate).   Bear in mind that since "bullet chess" affords the player roughly .5 seconds to think each move these puzzles are not exactly profoundly deep.  Or even profoundly shallow, really.

Anyhow, good luck, and off we go: