2 Simple Questions:

Should I have called or folded on the River.
Should I have played this differently on the flop and turn?

PokerStars - $0.25 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

CO: 105.32 BB
BTN: 216.08 BB
SB: 127.44 BB
Hero (BB): 144.48 BB
UTG: 47.52 BB
MP: 130.32 BB

SB posts SB 0.4 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has Ac Kh
fold, fold, fold, BTN raises to 2.48 BB, fold, Hero raises to 6 BB, BTN calls 3.52 BB

Flop : (12.4 BB, 2 players) Qs Kc Th
Hero bets 6 BB, BTN raises to 23.88 BB, Hero calls 17.88 BB

Turn : (60.16 BB, 2 players) 6d
Hero checks, BTN bets 43.08 BB, Hero calls 43.08 BB

River : (146.32 BB, 2 players) 7h
Hero checks, BTN bets 143.12 BB and is all-in.

3b bigger, fold turn

Could you check call this flop? There is no way AK likes a raise here. As played I dont know if you have implied odds for a flop call. Fold the turn and river though.