Balk or not to balk

[ccbestul]

I have two different situations.
1. An inexperienced RHP was on the mound. Runner on 2nd. The pitcher in the set position rotated conterclockwise, he then proceede to rotate clockwise in one non-stop motion toward second base for a pickoff move. Is this a balk?

2. Different situation: Runners on first and third. The pitcher is in the set position taking signs from his catacher when the runner on first takes off. The pitcher comes set and pivots toward second and throws out the runner. Coach wanted balk because pitcher threw to unoccupied base. I did not call it.