A9o in the SB. Whats your play?

So here it. $5 buy in on Paradise. 1200+ players to start. Down to 380ish, nearing the 2nd break. I dont have the hand history, sorry. One limper in MP with T5400, Hero in SB with T7800, BB has 1400. Blinds are 200/400/50 ante.

I have A9o and have been playing tight and this is my table image as well, so i think. One limper, table folds to me and I raise the BB all-in. BB Folds limper calls. Flop is 2 9 K.

What is your play here? I led out with a 2/3 pot size bet. After long delay, limper calls.

Turn: K

Now what? (I put this guy on JT or QJ by the way) I bet the pot and again, limper delays and calls.

River: Q

HMM? Limper had 130 left so thats what I bet.

Limper shows QJ, Hero is ticked off and dumps remaining 1600 in chips 5 hands later.

I dont want anyone thinking this is a bad beat post by the way. I am curious if this was a good play from the begining or should I have just let this go when the K hit the flop and turn? Thanks for any feedback in advance.