Stars $16 - Am I beat here?

[Galilee]

It wasn't until the turn that I realised that I might actually have to play this hand ...

HOLD'EM NO LIMIT - LEVEL VII (100/200)

Table '15369569 1' Seat #4 is the button
Seat 2: SRC44 (4265 in chips)
Seat 4: SHAWshank2 (4095 in chips)
Seat 7: esfitz09 (3195 in chips)
Seat 8: Galilee (1945 in chips)
SRC44: posts the ante 25
SHAWshank2: posts the ante 25
esfitz09: posts the ante 25
Galilee: posts the ante 25
esfitz09: posts small blind 100
Galilee: posts big blind 200

*** HOLE CARDS ***
Dealt to Galilee [8s Qc]
SRC44: calls 200
SHAWshank2: calls 200
esfitz09: folds
Galilee: checks

*** FLOP *** [8d 3c Js] Pot: 800
Galilee: checks
SRC44: checks
SHAWshank2: checks

*** TURN *** [8d 3c Js] [8c]
Galilee: bets 600
SRC44: folds
SRC44 is sitting out
SHAWshank2: calls 600

*** RIVER *** [8d 3c Js 8c] [7c] Pot: 2000
Galilee: ????????

If I do bet, how much do I bet? (I have 1120 left) If he's going to call me down with, say, AJ, then should I go all-in? But if he called on a flush or straight draw and hit it, am I always going bust?