I must admit I looked at the spoiler first
I think you did well betting the flop ~2/3 pot. In theory this should have folded out a lot of villain's range, including gut shots and flush draws. FD may have raised flop, but these are low stakes so people do weird things.
On turn I think you have to call, villain could easily have a king or draw here I think. With stack sizes and the amount of money in the pot I can't find a fold here I think.