Fight Question
 

A1 and B1 begin to fight while the ball is dead. A6 and A7 enter the playing court. B6 also enters the playing court and begins fighting with A6. The official charges A1, A6, A7, B1, and B6 with flagrant technical fouls, team A coach with two indirect technical fouls, team B coach with one indirect technical foul, team A with 3 team fouls, team B with 2 team fouls and awards team B 2 free throws plus the ball at the division line opposite the table.

Is the official correct?

Straight out of the Case Book. If you look, you shouldn't have much trouble finding it.

I think I was reading too much into it and assuming A6 wasn't fighting back.

Yes, you were.

"Fighting with" means that both team members are fighting.