T foul administration

[Josh Ovens]

in pregram warmups, Team A is on the court doing layups. As this is occuring A1 dunks the ball through the hoop.
i just want to make sure i have this correct. A1 is given a T , which is recorded under a personal and a team foul. you would start the game with 2 shot and the ball for team B, then after team B completes the throw in, the AP is set towards team A's basket.

A coach records all of his players in the book prior to the 10 min mark. in doing so, he makes a change in the book to three players. he is only charged with 1 T in this situation. it only gets recorded under the team fouls, and is NOT indirect to the coach. if the game had already started, his team would have been charged 3 Ts and and they are personal fouls recorded on A5,A6,A7 correct? as well as being recorded under the team fouls towards the bonus.