AJo in 10nl 6-max

Just want you guys' sense of what to do throughout this hand. I was new at the table and had no real read on any of them other than none seemed completely wacko. His call on the flop scared me into thinking he flopped two pair, yet I felt compelled to bet for value on the turn. Thanks.

PokerStars No-Limit Hold'em, $0.10 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

BB ($9.25)
UTG ($10.30)
MP ($10.20)
Hero (CO) ($9.70)
Button ($9.35)
SB ($5.35)

Preflop: Hero is CO with Jhttp://www.flopturnriver.com/phpBB2/...miles/club.gif, Ahttp://www.flopturnriver.com/phpBB2/...es/diamond.gif
1 fold, MP calls $0.10, Hero raises to $0.40, 1 fold, SB calls $0.35, 2 folds

Flop: ($1) Ahttp://www.flopturnriver.com/phpBB2/...miles/club.gif, 4http://www.flopturnriver.com/phpBB2/...iles/spade.gif, 8http://www.flopturnriver.com/phpBB2/...es/diamond.gif (2 players)
SB checks, Hero bets $0.45, SB calls $0.45

Turn: ($1.90) 10http://www.flopturnriver.com/phpBB2/...miles/club.gif (2 players)
SB checks, Hero bets $1, SB calls $1

River: ($3.90) 9http://www.flopturnriver.com/phpBB2/...iles/heart.gif (2 players)
SB checks, Hero checks

Total pot: $3.90 | Rake: $0.15

If you're worried (based on a read) that you're beat on the river, checking behind is fine.

That said, I think you're ahead here a lot with villains playing either pp's < TT or draws. I would bet the flop and turn bigger, about $.75 on the flop which would give us $1.60 pot heading into turn action, where I'd bet about $1. If he called both those sizeable bets, I might check behind, but I'd probably bet about $2. He'll fold a lot and call w/ Ax hands we beat. Of course, like you said, we'll lose to 2 pair hands here some. So check down the river if you like. I probably wouldn't check behind myself.

I'd bet like 3/4 pot on flop, around 1/2 pot on turn and I dunno about the river. It kinda feels like there are a bunch of 2-pair hands out there (if he has an Ace i think we're more likely beat, but he did check that river so maybe not). I don't think 77 and worse are calling the turn bet and JJ is really unlikely. Looking at the hand I kinda feel like we're ahead and should Vbet, but I would probably check and sigh when he shows K8.

My range on river: Any ace, though AK very unlikely and 2 pair is played really badly. Then a bunch or really unlikely stuff like 76, 54, and 2nd pair type hands.

seems like a super standard river bet against a weak ace type of hand