Was this handled correctly?

[Adam]

I'm only commenting here on the initial fighting action by the Rio player. At most, I'll give the personal foul and one flagrant Technical foul afterwards; unless there is a significant gap in time between the first blow and the second blow. To me, it's all one act. So, four shots seems appropriate.

That said, I don't think there's anything in the rule that prevents the official from calling multiple flagrants against the same player in this situation.

Rio still gets only 2 free throws out of it, and they will get the ball since the BV T was last.