AQo river

iPoker - $0.50 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BB: 100 BB (VPIP: 41.99, PFR: 0.71, 3Bet Preflop: 0.69, Hands: 292)
UTG: 106.62 BB (VPIP: 22.22, PFR: 17.91, 3Bet Preflop: 1.81, Hands: 455)
MP: 40 BB (VPIP: 9.09, PFR: 8.48, 3Bet Preflop: 6.58, Hands: 171)
CO: 74.2 BB (VPIP: 33.33, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 3)
BTN: 198.34 BB (VPIP: 18.75, PFR: 16.41, 3Bet Preflop: 8.04, Hands: 1,048)
Hero (SB): 100.5 BB

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Q♠ A♥

fold, fold, fold, BTN raises to 2 BB, Hero raises to 8 BB, fold, BTN calls 6 BB

Flop: (17 BB, 2 players) 5♥ J♦ 9♣
Hero bets 10 BB, BTN calls 10 BB

Turn: (37 BB, 2 players) T♦
Hero bets 26 BB, BTN calls 26 BB

River: (89 BB, 2 players) Q♣
Hero checks, BTN checks

BTN shows J♠ 2♠ (One Pair, Jacks) (Pre 34%, Flop 75%, Turn 68%)
Hero shows Q♠ A♥ (One Pair, Queens) (Pre 66%, Flop 25%, Turn 32%)
Hero wins 84.56 BB

He calls flop cbet 78%, turn folds 1/1. Should I play in that case ch/f when he is calling light? My plan was to bet turn because I saw that he folds 1/1, but it is very weak info.

Is river check fold ok? I think that he should be happy with free showdown with most hands, and it seems that he has showdown value when he calls turn.