the hands are considered part of the bat, this has happened to me before with being hit in the hands, the ump yelled foul ball and we continued the bat.
the batters box is for the batter, interference cannot be called. this again happened to be, a runner from my team ran to third and i was in the box and made no attempt to move. the cather threw the ball away and the coach of the team said i was in the way. the umps met and discussed that there's no rule about the batter having to leave the box seeing as how it is the spot he is supposed to stay.
after a dropped third strike a batter can be called out if he leaves the baseline.
no part of the batter can be out of the box when he makes contact, if noticed the batter is out.
on a ball thrown out a play the runner gets one baseball and if he is on his way to one he gets that one plus another.
the runners may advance on a infield fly, this rule only is there for the fielders. the only one out of an infield fly is the batter, so therefore if the ball is not caught the runners may advance.
a pitch that bounces may be hit. there is no rule saying it is dead. the batter can swing and hit any ball that is thrown.
the pitcher does not have to come set the pick off, the only time he has to come set is before he goes to the plate.