Double Foul: True or False?

[mbyron]

I had a BJV game Friday that had an ugly moment in it. We're down by A's basket in the second quarter, and partner passes on a push by A1. Shot goes up, and A1 pushes B1 again, harder, under the basket (and in my primary). As I whistle that foul, B1 turns and throws a half-hearted punch toward A1, which he fails to land (A1 has backed away).

I ended up calling a double foul, but as I think about it, I probably should have called an unsporting T on B1 for the punch (attempt). I also realize that the punch attempt qualifies as fighting, and the T could have been flagrant. My judgment was (and remains) that the situation didn't warrant the flagrant T; if it makes any difference, I didn't have any problem with either of these two for the rest of the game.

Questions:
1. What would you have called?
2. If I had called the T on B1 after the foul on A1, how would that be administered? That would have been a false double foul, correct?
3. What do you think about calling a flagrant T in this situation? In general?