legal or not

[xxssmen]

It seem that am getting different answer here, am still confuseed whether its legal or not, I understand the fumble rule but still am lost situation #1.

Let me try to make it more simple, Player A1 drible down the court does a 2 hand chest pass to player A2 but instead it hit an official and comes back to player A1, so can player A1 recover the ball before it is touch by another player.