I think it is played with some very big mistakes. First of all, if you put SB on weak range, even then I think I would fold pre. I think even then it is just not worth it this bluffing opportunity. So you choose to bluff him out by calling 3bet cold pre 3way, deciding to outplay him postflop in position right. Or, you might hit a hand, a draw or might be ahead of him. I think i have 0% hands that I coldcall pre here by the way... if you think he is weak and 3bets a lot, i would just value4bet with stronger hands than his range and fold weaker hands. Or if you have some insane read on him that he is really weak postflop or something... only then... but to me without reads/stats this looks just too bad.
On flop as played I would still fold. You have absolutely missed the draw/pair what you were hoping for. If you cold call pre, you put yourself into really tough spot, yes, the only positive thing is that you are in position and he might be bad postflop. So you float flop. It is not a good board or spot to do so, I think. You can have a folding range as well, like lets say your style, 87s you might maybe fold here on flop?
So this turn is a really bad card for bluffing. I think he has pocket pairs 77+ alot in his range that he is now always check calling, and even AK he might not fold. He can fold AJs, bluffs like 87s... but not much. Qx he might check raise... but to me he looks like a pocket pair a lot, like AA that is now scared. Maybe I overestimate people on NL2. Well anyway, JJ, AA, I think they never fold even if you bet turn and river both... unless you bet river really big or something... which I think is not a good idea here 
So you bet turn really small, I think he will even call AK to this bet. He even has the odds if you are not on Qx or stronger to hit his 6outer, plus you might be bluffing. And this river of course is really bad for bluffing...
Sorry no offense i just wish to understand these spots myself as well... Yes I would fold pre, as played I would fold flop cause he looks quite strong to me as he played.