BB Troubles...QJo vs. UTG preflop raise

[RiverJohn]

5 handed $3/6, Paradise Poker

I receive QJo in the BB.

UTG (probably a decent player) raised.
Cutoff (loose calling station) called.
Button (somewhat unknown, but average-looking) calls.
I call.

*** FLOP *** : [ 4d 5c Jh ]
I bet out. All call.

*** TURN *** : [ 4d 5c Jh ] [ 7s ]
I bet. Folded to the button, who raises. I fold.

A) Should I have bet the flop?
B) Should I have bet the turn?
C) Is the pot too large at this point to fold? My intution told me I was very likely beat.

I didn't believe the button would be pulling a move here. I put him on a set, KJ, or AJ. Perhaps 54s, as he liked suited connectors. After observing his play further, I still think this was probably the case.