I don't have a lot of stats on this guy, but I think every raise he's made he's min-raised.

Given his play a Jx, or Qx type hand seems most likely. If a blank comes out on the river I'd definitely have checked as we have some show-down potential, but the K seems to give us a good opportunity to fold Qx hands. Am I on the right track here?

PokerStars No-Limit Hold'em, $0.25 BB (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

CO ($27.70)
Hero (Button) ($24.30)
SB ($25.55)
BB ($25.35)
UTG ($78.35)
UTG+1 ($25)
MP1 ($3.45)
MP2 ($26)
MP3 ($15.60)

Preflop: Hero is Button with 10, J
3 folds, MP2 bets $0.50, 2 folds, Hero calls $0.50, 2 folds

Flop: ($1.35) 2, J, Q (2 players)
MP2 bets $0.65, Hero calls $0.65

Turn: ($2.65) 8 (2 players)
MP2 checks, Hero bets $1.70, MP2 calls $1.70

River: ($6.05) K (2 players)
MP2 checks, Hero bets $4