10/20 no-limit passive AA hand

[IHE]

Hey guys, long time reader. I'd like your opinions on my play in this hand. This hand was on Party 10/20 from about a week ago, so its from memory.

I have about $4500 and my opponent covers me with over $10000. I have not played with him long, and I doubled up my stack recently with two pair against a terrible player. So I don't know much about this player, but I assumed that he must be competent to have such a big stack. I noticed that he is pretty tight before the flop.

I open one off the button with red AA, and he calls on the button.

Flop is J82 all different suits. I usually bet here, but I didn't want to play a big pot this deep and checked. He bets about $130 into the $170 pot.

Turn is a K. I check and he bets $400 after pausing a bit. I call. River is a J. The pot is $1230, and we have $3500 behind.

I'm not sure what to do here. The J is a pretty bad card, and he might try to bluff me out right? Should I make a small bet, like 700 and fold to a raise? Thanks.