$200 NLHE Full Ring: TPTK facing re-raise

Alright so the most important thing to read before this hand is that it occurred on a 40bb max table with $1/$1 blinds. So I am at a table with a bunch of fish (as can be expected from a 40bb max buyin table) and a few regs. I am dealt AcJc UTG which isn't the best hand to play UTG but anyways I saw them play ace rags and such. So I raise to $4 and get one caller in the button and one in the big blind. Flop comes out Jd8c6s. The first player to act makes a small bet and then the other player makes a large reraise, and i shove for my remaining 36bb. The player who made initial donk bet was LAG and so was the one who re-raised. I was thinking he would show up with an inferior kicker and a jack enough times to make my shove profitable. As for my reads on the player who re-raised, he was very aggro and i had seen him make similar plays and then showdown ace-high a few times. Any thoughts on my play?

Your hand doesn't make sense.

Correction: the small blind and big blind were the ones that called the pfr, not the BTN.

Would help what the size of the raises were.
But I'd prob just muck it against unknowns.