#1 was correct. In NFHS a technical foul is penalized with two FTs and the ball at the division line for the opponents. The only exception to this is a double technical, in which case there are no FTs and the ball is administered at the POI.
#2 was also handled correctly. Once a coach is beckoned, the player must leave the game. Also, any player who leaves the game may not return until the clock has started, so she was not able to enter the game even after the TO.
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