AK vs check raise turn, river decision

PokerStars - €0.05 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BB: 218.6 BB (VPIP: 21.43, PFR: 17.86, 3Bet Preflop: 15.38, Hands: 29)
UTG: 93 BB (VPIP: 57.14, PFR: 14.29, 3Bet Preflop: 0.00, Hands: 7)
MP: 92.4 BB (VPIP: 16.67, PFR: 12.82, 3Bet Preflop: 7.14, Hands: 79)
CO: 105.6 BB (VPIP: 33.33, PFR: 22.22, 3Bet Preflop: 8.33, Hands: 30)
Hero (BTN): 100 BB
SB: 115.8 BB (VPIP: 27.08, PFR: 12.50, 3Bet Preflop: 0.00, Hands: 50)

SB posts SB 0.4 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has A♠ K♦

fold, fold, fold, Hero raises to 3 BB, SB calls 2.6 BB, fold

Flop: (7 BB, 2 players) 6♠ J♥ 3♥
SB checks, Hero bets 3.4 BB, SB calls 3.4 BB

Turn: (13.8 BB, 2 players) A♣
SB checks, Hero bets 9 BB, SB raises to 24.6 BB, Hero calls 15.6 BB

River: (63 BB, 2 players) 8♣
SB checks, Hero checks

Uknown player.
I didn't know what meant his check river.
On live i was afraid to make a value bet river and to face a check raise.
Do you make a value bet or check behind is ok ?

I thank you in advance for your advice