Shot goes shot clock goes off ball sticks between rim and backboard. Is it AP or violation?

Second one. Ball is going out of bounds to side of back board, player jumps and tips it behind the backboard across to a player on other side of court over one of the supports. It does not go over the backboard either way. Violation or not?

If it's wedged between the rim and backboard, it must've touched the rim, no? If so, how could it be a violation?

It's only a violation in the NBA. And then only if it goes directly behind the backboard.