I've got about 600 hands on villain, he's 14/3/2 fairly WT, usually short-stacked and not seen him showdown too much.
Just want to check my turn raise here as correct or not. I tried to make the raise look strong by not pushing him in completely

Like?

The way that hand started, I was guessing UTG had AA for some reason. If he's weaktight, I am not a fan of the turn raise because he's been betting and that screams to me he likes his hand alot and isn't going to fold.

Preflop I actually would like a fold or raise than a limp. Try and take it down immediately or on the flop.

I'm not a fan of raising the turn with a draw, personally. Would prefer it on the flop if you're gonna do it.

I'm actually raising this pre-flop. That limp lets in the blinds, and does not push out the guy who limped UTG. I want to take it down right there. I agree with Snow that if I'm raising it is on the flop, rather than the turn. After you made that turn raise, your call of his all-in is correct.