#1 -- illegal. I'm not sure what to call it -- a throw-in violation?
#2 -- depends on what you mean by "A2 saves the ball". If he just swats it, then his momentum carries him OOB and then he steps back onto the floor, before he "recovers the ball", it's legal. If saving the ball means he gets in a dribble or two, then I'd call it illegal -- out of bounds, and possession to B.
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