How it looked to me, you said he was a pretty tight player and 10$ will push everyone out. Now after the river you see that he was a dog to you untill the turn. I would have right away preflop put him on Ace high kicker it almost seemed to me that you didnt want to accept that your hand could be beaten. Im not calling you a bad player since he did get very lucky on the turn and it was a great flop for both of you, but two pair as we all know is beaten by a straight. If there is a 4 card straight on the board ill bet that someone has the 5th card for sure. When that king came on the turn it was fine to bet there since it did make your two pair but you could have saved yourself money on the river by checking and seeing what he bet. From what i have seen he wants you to stay in the hand and make some extra money, so he will either bet huge and make it look like a steal or he will bet small to get every last drop out of you he could. You have to think about what your opponent is doing, if hes not scared of the 4 card straight there could be a reason for that. I hope this helped