No. The hand is considered part of the ball when it is in contact with the ball.
Yes. Any contact between players would be a foul in this circumstance.

2. During the course of play, Tully Bevilaqua leaves the playing court and is out-of-bounds. She then leaps from out-of-bounds (never establishing herself within the playing court area), touches a loose ball and then lands on the court. Is this legal or illegal?

Legal. Because no part of her body is touching out of bounds, she may touch the ball.
Illegal. Bevilaqua must establish herself on the playing court before she is allowed to touch the ball. Still in the air and coming from out-of-bounds, she is still considered out.

3. While attempting a throw-in following a violation, Nykesha Sales takes two steps from the original in-bounds spot before releasing the ball. Is this a violation?

Yes. On a throw-in, Sales is allowed no more than one step or stride as in normal pass-in movement.
No. On a throw-in, Sales may take as many steps as she would like within a five-second period
Yes. On a throw-in, Sales may not move a pivot foot.
No. On a throw-in, Sales may take up to five steps, strides or jump moves before inbounding the ball.

4. The San Antonio Silver Stars have just scored a field goal and requested a timeout. Should the timeout be granted?

Yes. Until the ball is inbounded by the opposing team, either team may call a timeout
No. If the Silver Stars call timeout, it should be ignored by the officials.

5. While dribbling the ball, Loree Moore notices that Chicago's Candice Dupree is advancing from the rear. Moore then changes her direction so that Dupree runs into her. On whom is the personal foul called?

Dupree. No defensive player may run into an offensive player in possession of the ball.
Moore. No player may change her position on the floor without giving her opponent the opportunity to change her direction or come to a stop to avoid contact.