technical foul

[NorthSide]

This happened in a high school summer league game:

A1 is dribbling the ball upcourt with B1 agressively defending him. A1 does not have great handles, so he is struggling with keeping possession of the ball. Finally, in disgust, he picks up his dribble and "fakes" throwing the ball in B1's face. A technical foul is called on A1. A couple of seconds later, B1 realizes a technical foul has been called on A1 and he (B1) "claps" vigorously in A1's face. A technical foul is then called on B1. The referee proceeds with a double-technical foul, thus going to the alternate-possession arrow (where B secures the ball). Was this handled correctly?