I did the right thing?

[ntg816]

I think I was correct here, just want to get some more opinions.

Blinds 100/200

Hero is BB with 3300
Villian is MP with 13000

Hero is dealt Tc Jc

Villian, Hero, and LP limper see flop

Flop is As Ts Jd

Hero checks, Villian bets 700 (pot), LP folds, Hero moves all-in for 3100. Villian calls 2400.

Villian has Ah Kd.

Turn is Qs, river is a blank, I'm out.

I should push here, correct? I want to make sure I made the right play.