Free-throws Offset?

[IchiRef]

Frequent reader, infrequent poster here. Had a couple of situations I had questions about. Both happened in my games...

Play 1-
A1 is fouled by B1 (A is in double bonus), A1 retaliates and my partner calls a T on A1. My partner states that the Free Throws offset, so no on will be shooting. This is incorrect right? Free throws only offset on 2 T's?

Play 2-
Different game. A1 has been warned about his physical play and told to clean it up. A few minutes later, A1 is lined up on the line during a free throw, after the last throw (unsuccessful) is in flight A1 throws his forearms into B1's face and partner called a Flagrant foul. Player sits and ball is given to team B at division line opposite table. My question - It has to be a Flagrant Intentional, because it was live ball contact? so ball should have been at the spot of the foul. Also, because the throw was unsuccessful and no one had established possession, should we have gone to the AP arrow?

Thanks!