JJ facing turn AI

No reads on villian. I just couldn't see a set or an 8 playing the turn like this after minraising the flop, so I called. Like it?

Party Poker No-Limit Hold'em, $ Hero (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

CO ($75.15)
Button ($61.77)
SB ($19.90)
Hero ($48.15)
UTG ($13.14)
UTG+1 ($31.04)
MP1 ($99.84)
MP2 ($49.55)
MP3 ($50)

Preflop: Hero is BB with J, J. SB posts a blind of $0.25.
1 fold, UTG+1 calls $0.50, MP1 calls $0.50, 5 folds, Hero raises to $2, UTG+1 calls $1.50, MP1 folds.

Flop: ($4.75) 5, 8, 3 (2 players)
Hero bets $4, UTG+1 raises to $8, Hero calls $4.

Turn: ($20.75) 8 (2 players)
Hero checks, UTG+1 calls $21.04 (All-In), Hero calls $21.04.

The range of hands to put him on his huge. That being said I call.

I raise to $3 pre-flop. I might push over his min-raise on the flop. As played I think I reluctantly call the turn push. Tough post-flop decisions against an unknown.