Jump Ball then Technical

[Chess Ref]

Boys Varsity game. Three players on the floor in the key after a loose ball. I come in blowing whistle for a jump ball. Two of the players let up and the third gets in a cheap elbow swing. I know about ignoring minor contact during a dead ball but the last elbow swing was over the line and also hit the opposing player on the side of the head. So it needed to be addressed. I gave the player a technical.

I was a little unsure about handling the arrow so I fell back on administering the penalties in the order they occurred. So I had table switch the arrow, administered the free throws and took the ball out at the division line.

In hindsight should I have ignored the original jump ball ?