30-60 at canterbury... terrible fold?

[fivesense]

Hero has AKc in mp

table is very loose and the button in this hand has been spewing for the last two orbits way on tilt. UTG is loose but not stupid. MP 1 is pretty tight and smart thinking regular. I have a very tight image borderlining weak tight.

UTG raises
MP1 three bets
Hero calls (?)
button four bets
sb calls
bb calls
UTG caps
all call -- 5 to the flop

Jh 9h 4c

Sb leads
bb folds
UTG 2 bets
MP1 3 bets
I fold -- (??)
button calls

Turn As

sb leads
all call

River 2 c

sb leads
UTG shows KhQh and mucks in disgust
MP1 calls shows pocket QQ
Button mucks
sb shows AT.

Should I be calling this flop or rather raising with the backdoor draw plus the overs? The pot was pretty big so I'm thinking maybe this was a terrbile muck??

thanks