Is this standard?

I have been three orbits at the table. BB have played 50% of the hands during that time. Button I played with before, and he is decent, playing something like 25/10.

I have [Tc] in the SB with a full stack, and they both cover.
Button opens to 4, I call as does the BB.

Flop(12):
Checked around

Turn (12)
I bet 8, BB now raises to 21, Button fold.
I call with 13 into a 41 pot, getting 1:3.2

Do I have the correct implied odds to do that to play to Boat up? And should I check fold if I do not hit river?

River (52)
Well, I hit the river. Bet 30, he pushed, I called.

3bet preflop

There is more than one way to play this but I think you line is fine.

why is it important to 3bet PF here?

I guess you are right that I should have 3-bet PF. The reason I didn't was I didn't want to be sitting with TT OOP, on the type of flop that just came.

But I guess that TT has to be ahead of the range of a Button open raise.

According to your range GLR, I am ahead of a large part of BBs holdings on the turn. I only played with him for 15 hands so I don't have that much info on him. The only thing is that he has been involved in half of those hands, so he could very well have called a raise and a caller with Q9, KJ. I am not that worried about KK or JJ, since he has raised a bit in those 15 hands to, so I do not think he would try to trap with it. But that is just a weak guess

But if I push there, would I get called by a worse hand? Would he call with less than AQ, Q9? Maybe with strong draw?

Results:
Opponent had Q9o, and I sucked out on river. I just had a feeling he had it, since he did this "almost" minraise on turn

3betting the turn will get you called by a lot of hands. Infact, I don't see him folding anything except a complete and pure bluff. Any two-pair hand that he raised with will call a 3bet (or probably shove himself) and the same goes for pair + draw combos. Even if he has a bare Q he will call a decent amount of the time - poker players suck at playing poker; give them the opportunity to make a big mistake and they'll make one.