I think this hand is overplayed by everybody in it. J
is acceptable in the small blind for implied odds in some situations but you probably shouldn't be praying for a specific A
flop in a pot that was raised and reraised preflop. So the first mistake is calling for .06c. Second mistake is once you did so, you overplayed it with a pot sized bet on the turn. I'd just continue checking it all the way down with that scary board and reevaluate later, or perhaps keep it small with about half the pot size. Reraising with QJ is probably not the best play either, but you don't know they have that.
Checking behind on the flop as the villain did is not an immediate sign of weakness either. They may have what you were representing, which is a set or two pair to get the exact turn card that happened which is a paired board. Remember, it takes a better hand to call than to raise with in most situations. Floating is an advanced play that you aren't going to see at this level very often. What do you do when for example, you raised preflop with aces and flopped a boat or top set on an otherwise entirely dry board, such as A82 all offsuit? There are very few hands that won't fold to you (unless your opponent gets creative) - 88, 22, 82 or a slim chance of them having the last ace in the deck. You have every card locked up. So why would you immediately bet pot sized there?
So not to sound harsh but I think if you're actually wondering what went wrong here, I'd say basically everything on your part. I agree with the last poster that if you're going to bluff this turn card you need to continue on the river - if you make a move, you go with it. But I wouldn't bluff here to begin with because that preflop raise followed by a check behind on the flop would worry me more than anything. Your opponent had position on you and could easily be slowplaying the boat there because they know if they raise your big turn bet they'll scare you out. Calling you on the other hand allows more value if you continue bluffing later. (this would possibly be a little different if the villain is out of position; they're less likely to slowplay because they lose a betting round that they wouldn't lose in position. That's one of many reasons that position is so huge in NLHE.) Don't be in such a hurry to defend your .08c; just wait for a better spot and get it back when you actually have aces full against the same donk who makes those moves.