Another Inquiry on the balk?

[hawk0213]

I am new to this site, so I apologize if this has already been talked about.

I am a summer league high school baseball coach, using high school rules.

With a runner on first, three times I ahd a runner picked off because the RHP pitcher would pivot on the rubber with his pivot foot when he threw to first. His foot never left the rubber. This happened three times. The first two times I went and talked to ump between innings and finally the last time I stormed onto the field, only to have the umpire say that he has been umping for longer than I have been alive.(i didnt understand the relevance) He said he would not argue because it was not a balk. So I left the field, and my kids got three steps off the base the rest of the game. Is it a balk or a pickoff move I should be teaching the kids?

My next question involves a LHP who during his windup he would pause in the middle of his delivery(at the balance point) and I understand that it is part of his "natural movement" but on one pitch he came to his balance point paused and then lost his balance on his back leg and he ended moving back and forth(on one leg) trying to catch his balance. Literally for four or five seconds he wobbled and then finally threw a strike three(somehow). Is there a ruling for that?

And finally when recieving the signs on the rubber, doesnt the ball have to either be in the glove or behind the back? An opposing pitcher had the ball in his throwing hand and it was swinging back and forth while he was recieving the sign. I didnt complain because it wasnt a huge deal but just for the sake of being technical, is that legal?

Thank You
Jon