I am curious why the ball quit bouncing. Was it the ball deflating or the players lack of dribbling? If the ball is the problem, I would stop play and check the ball. If it is the player; if the ball had stopped moving, I would consider either of those efforts an illegal dribble. But specific to your second question, hitting the ball with a closed hand does not necessarily constitute a violation of the rule regarding hitting the ball with fist.
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