Random B-bal Q's- Rookie Official

[nine01c]

Play #1:
When A2 SECURES the rebound, he has gained player/team control so front court status has been established. The ball is thrown over A3's head into the backcourt, but it is not a backcourt violation until a Team A player touches the ball before a Team B player touches it.

Play #2:
The answer is YES in your examples.

Play #3:
A) If the ball already has F/C status (Team A dribbling/passing in it's F/C) then there will be a B/C violation if a Team A player touches the ball while he is in the B/C (and Player B hasn't touched it first). To be in the B/C Player A merely has to have his heel or toe
TOUCHING the division line (which is in the B/C). There is no requirement for both feet to be in B/C.

B) If the ball has NOT gained F/C status and Player A is dribbling the ball near the division line, he is still considered to have B/C status until both his feet and the ball have touched in the F/C. So he can dribble along the line with one foot in F/C and one foot in B/C and the ball in either court (for example), and he still has B/C status.
Once both feet and the ball have gone OVER the division line (not touching it) and touched the court he has gained F/C status. Then see A above.