[Vinski]

Representing, here is my thoughts on your situation.
Like most of the posters here have said, you must bust the flops early. If you don’t, as you have witnessed, someone will get hurt. Frankly, if that was my kid that got hurt, you would have gotten more than just a snicker from me.
With flops you need to at least warn the first time. If there is any contact whatsoever, call the block. If you warn, do so immediately and make sure your partner and the coach know you warned so when the T comes it’s no surprise. Odds are it will stop immediately.

Regarding the T you gave: One may have had to been there, but I don’t think a snicker merits a T. You have to have a bit thicker skin than this to officiate. But maybe there was more to it than that, I don’t know. But based on what you said, I don’t have a T here. If you were giving the T based on the assumed AC being on the court, again this is iffy. True, he’s not supposed to be there unless he was beckoned, but if he is there for the best interest of the kid and just snickered…I dunno.

Regarding the retraction of the T: As everyone else has stated, this is not a correctable error and the free throws cannot be wiped. You gave an unsporting T. Regardless of who you gave it to, you judged the act as unsporting and that is unchangeable. Just like you would judge any contact as a personal foul, you can’t change that. Now, you may have applied this T incorrectly just like you could incorrectly apply a personal foul. For example, you get the number wrong on a hand check foul by reporting white 21. The table records the foul and then tells you white 21 is not currently on the court. You then say, my bad, it’s actually white 12. The table then fixes the mistake in the book and off we go.

What I believe your options are with the T is when you found out that this person was not the AC but instead a father and the score keeper, you could have simple changed the direct T on the phantom AC to a team T. This, of course would negate the indirect on the coach. IMHO

I don’t think you should hang up your whistle, but I do think you need a bit thicker skin and to mature your judgment. You obviously want to improve, so dive into the rules more vigorously and you absolutely must listen to other officials input with humility. I’m not saying that you should agree with everything you hear. But definitely consider and weigh everything you hear.