QQ in face of AK on flop

[Badger44]

Looking for input on the following hand. This is FTP.com, 25c/50c limit holdem, table is loose and passive to a little aggressive, with a couple players that are just plain bad. I am Badger44, and I'm on the button with QQ.

Dealer: chipcatcher posts the small blind of $0.10
Dealer: sixclubcult posts the big blind of $0.25
Dealer: You have been dealt [Qd Qh]
Dealer: Potsy1959 folds
Dealer: jimmyjames folds
Dealer: DeanDaMan calls $0.25
Dealer: mAAximus calls $0.25
Dealer: Rockieman calls $0.25
Dealer: xecontrol folds
Dealer: Badger44 raises to $0.50
Dealer: chipcatcher folds
Dealer: sixclubcult calls $0.25
Dealer: DeanDaMan calls $0.25
Dealer: mAAximus calls $0.25
Dealer: Rockieman calls $0.25
Dealer: The flop is [Kc As 6h]
Dealer: sixclubcult checks
Dealer: DeanDaMan checks
Dealer: mAAximus checks
Dealer: Rockieman checks

At this point, I figure someone has an A or K, but no one bet, so I put out a feeler bet. Should I have just checked at this point?

Dealer: Badger44 bets $0.25
Dealer: sixclubcult folds
Dealer: DeanDaMan calls $0.25
Dealer: mAAximus folds
Dealer: Rockieman calls $0.25
Dealer: The turn is [Jd]
Dealer: DeanDaMan checks
Dealer: Rockieman checks

Now I figure a Q or T and I win -- didn't consider that the T will likely give me a tie and the Q may give someone a straight until reviewing the hand. I decided to take the free card.

Dealer: Badger44 checks
Dealer: The river is [4h]
Dealer: DeanDaMan checks
Dealer: Rockieman bets $0.50

Now I figure I am probably beat, but this guy played this hand so weak before, I decide to call in case he is bluffing. Should I have folded here?

Dealer: Badger44 calls $0.50
Dealer: DeanDaMan calls $0.50
Dealer: Rockieman shows two pair, Aces and Fours
Dealer: Badger44 mucks
Dealer: DeanDaMan mucks
Dealer: Rockieman wins the pot ($4.85) with two pair, Aces and Fours