False Double Foul?

[Toren]

So last night I had a varsity boys game, 2 man mechanics.

Player A1 gets the ball stolen by team B, I'm the L now the new T. As I'm running I have eyes and ears on A1 since he's been a bit vocal in this game. Sure enough I hear some cuss words directed at player B1. I signal for a T. As I do that, a shot is up in the air that misses. As the shot is in the air B1 moves in for a rebound and pushes A1 in the back, A1 turns around and pushes B1 back.

So I now have a T for unsporting behavior, followed by a dead ball double technical.

Now I ask myself a couple of things: first, if A1 wouldn't have retaliated with a push, I probably wouldn't have had anything on B1. The fact that A1 retaliated with a push, lead me to penalize both players with a double T? I certainly could not let the retaliation push go unpenalized, it was too egregious.

As I thought about it later, I needed to also penalize the push regardless, because it could have discounted the basket from scoring, had it scored. But then am I left with a T, common foul, T? as opposed to what we had, T, double T.

Secondly, after having player A1 removed from the game, we penalized with 2 free throws for team B because of the original T and the ball at half court opposite the table.

Thoughts on this play?

One last thing, if the ball in flight had gone in, if I had penalized with T, common foul, T, then the basket doesn't count, but we have 4 free throws plus the ball OOB? If I had penalized with T, double T, then the basket counts and we shoot 2 free throws plus the ball OOB?

Sorry for the long story.