Backcourt Violation Question

[APG]

The four criteria for a backcourt violation (NCAA and NFHS):

1. Team control (and initial player control when coming from a throw-in)
2. Ball achieves a front court status
3. Team in control is last to touch the ball before the ball achieves a backcourt status
4. Team in control is the first to touch the ball after the ball achieves a backcourt status.

A2 didn't need to establish player control. As soon as A2 touched the ball, he gave the ball frontcourt status. We still have team control because TC continues during passing activity. A2 then was the first to touched the ball after it gained a backcourt status (by virtue of batting the ball to the division line), and was the first to touch the ball after it achieved a backcourt status.