Edited because the math major forgot how to add (pot sizes fixed)Here's a hand I played a few days ago that I'm still wondering if I played it correctly on the turn. It's from a site that doesn't support the converter so I'll transcribe as best as I can by hand.The game is 2/4 Limit HE, 10 handed. The table is generally loose and passive. Lots of crazy hands seeing a showdown but no maniacs at the table.Zara is CO+1 and is dealt A

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2 folds, MP1 calls, MP2 calls, 1 fold, Zara calls, CO calls, 2 folds, BB checksI limp preflop hoping to get a good flop to continue. With this many limpers, and being in late position is this a reasonable spot to raise? Normally, I would only raise with A8s if either I'm the first in here or if I'm on the button.Pot = 5.5SB, 5 handedFlop: 6

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BB bets, 2 folds, Zara raises, CO calls, BB 3-bets, Zara caps, CO callsThis is an amazing flop for me. I have an OESD, nut flush draw and 1 overcard for a total of 18 possible outs. I'm a favorite versus anything except a set and even then I'm only a 3 to 2 dog. There's no way I'm not putting in every bet I can here. The BB is an ok player that usually doesn't overplay hands majorly though he tends to overvalue certain hands. The CO is very loose and very passive. He will call to the river chasing almost anything and only folds then if he doesn't improve. After the BB 3-bets I start to wonder if he has a set afterall and will proceed very carefully if the board pairs.Pot=8.5BB, 3 handedTurn: J

BB bets, Zara calls, CO callsAt this point I'm reasonably sure that the BB has a set. In retrospect, it's possible he made a weird straight or two pair, but for some reason those never occurred to me at the time though they're very possible.My question is should I raise here? One reason I didn't was to keep the CO in the hand as I wasn't worried about him beating me if I improved and I wanted the overcall which I didn't think I would get if I raised. I also stand a very real chance of getting 3-bet which I don't want to happen. I still have a large number of outs, with somewhere between 9 outs and 18 depending upon what I'm up against. Based on the action I don't think enough of these are live to warrant a raise since it's very likely to knock out the CO and get me 3-bet.Pot=11.5BB, 3 handedRiver: 5

BB bets, Zara raises, CO folds, BB 3-bets, Zara caps, BB callsI hit the nuts on the river and the BB is nice enough to cap it with me.I was surprised to find out what the BB hand, and I'm wondering what you all think he has based on this action.The main questions I have are if I should have raised preflop and if I should have raised on the turn.Zara