KK vs big river bet

[Silly String]

My read on the guy is he seems a little Agg to the point of being fishy. I haven't seen him show down to much, but he likes to end the hands before the river by re-raising. I once saw him re-raise with KQ on a K high flop into AK. He lost $15-20 on that hand. Table is fairly loose right now. I am seeing 2-3 callers on each raised hand.
Did I play this right?

PokerStars No-Limit Hold'em, $0.25 BB (8 handed) FTR converter on zerodivide.cx

BB ($8.35)
UTG ($14.15)
UTG+1 ($7.80)
MP1 =#A500AF(Villian)/ ($47.80)
MP2 ($9.70)
CO ($42.55)
Hero ($27.70)
SB ($25.75)

Preflop: Hero is Button with K, K.
1 fold, UTG+1 calls $0.25, MP1 =#A500AF(Villian)/ calls $0.25, MP2 calls $0.25, 1 fold, Hero raises to $1.5, 2 folds, UTG+1 calls $1.25, MP1 =#A500AF(Villian)/ calls $1.25, MP2 folds.
This is my standard raise when averaging 2-3 callers. It is a little higher to weed out the truly moronic Loose callers

Flop: ($5.10) 8, 4, 5 (3 players)
UTG+1 checks, Villian checks, Hero bets $3.75, UTG+1 folds, Villian raises to $7.5, Hero calls $3.75.
Safe flop, bet 3/4 pot = standard play for me. Raise is cause for concern.

Turn: ($20.10) 9 (2 players)
Villian checks, Hero checks.
Check is good here. Don't want to walk into CR, and I want to control the size of the pot. Should I bet to avoid the free card play.(most don't make that play OOP)

River: ($20.10) 3 (2 players)
Villian bets $10, Hero ?????
Moment of Truth?

Final Pot: $40.10

[KoRnholio]

Easy call. His check-raise was probably a top pair-like hand looking to push you off AK/AQ. Since you checked on the turn he decided to fire off another barrel into you.

[Lukie]

Call. Good check behind on turn.

Could be a set, but you have to call here.

[Silly String]

Could be a set, but you have to call here.

Thanks guys. Lukie you're right. It was a set, and I did call. I appreciate the good check comment as it helps to know that isn't too weak with an overpair. Villian hit his set of 5's. Dat Pokah!!

[mxiu]

I really like the turn check. nh.

[Pelion]

His check-raise was probably a top pair-like hand looking to push you off AK/AQ.

Its a pretty small check/raise so i guess it could also be a free card play. Not as likely OOP but hey, it worked.

[nutsinho]

make note villain=donk