I think these are hand reading problems more than psychology problems.
1) Say I have pocket 77s (this is a real hand) in late position. There are already two limpers and the button hasn't acted. I open the pot for 3xBB.
Raising is fine, but you really want to raise a bit more to isolate the limpers. You've given good odds for someone to call behind you and then good odds to build a big preflop pot. I'd make it 5-6x.
The button and everybody else calls! The flop is K-Q-5 rainbow and it is folded to me.
OK, lets put some people on hands. There are two limpers before you. What kinds of hands are they most likely to have? In my experience, pocket pairs, suited connectors and weak suited A's. Of those, this flop hits JT, QJ (which may have raised denpending on position or may have limped) and 55. How about the guy who cold called after you? He's unlikely to be sitting on AA, KK, QQ, or AK or AQ. He doesn't want to play a 4 way pot with those hands. His range is going to be very similar to the other limpers.
So, now, who of the 4 in this hand is likeliest to have hit it? You of course. You raised pre and this flop hits a raising hand pretty hard. So it checks to you. I don't hate that you checked. The flop missed and it's a 4 way pot. It's tough to bluff 4 players. But, I wouldn't hate a bet either. It reps AK, KQ, AQ, KJ, AA, KK, QQ. All of these hands are consistent with your pre-flop raise. It is also very hard for any of the other 3 to continue with an underpair or a suited connector that isn't JT. So, it's not a bad spot to c-bet even if there are a lot of people in the pot.
Ok, you checked. To the player with position, it means that most likely you didn't hit the flop. So, he only has to bluff 2 other people. He sticks in a bluff and it works (once you check the flop, the fold is fine by the way). Then he advertises.
What is the psychological driver that made me check?
You didn't have a good hand for the flop, were out of position to a good player in a multiaway pot. Not a terrible check/fold.
What drove him to bet with three potential raisers behind?
There were only 2 potential raisers and they pretty specifically had to have 55 to raise.
2) Say I have A-Ko, and raise for 3xBB. There is one caller. I miss the flop and let's just say for an example that the flop is Q-8-5 rainbow. I am first to act and make a standard C-bet. He calls. Why in this position do a lot of players often check the turn when they missed the flop and their opponent calls? I have done it. Maybe he really does have the queen.
In games of brinksmanship, the player in position has a distinct advantage. You will lose more of these hands than you will win. It's the way it goes. That said, there's nothing wrong with mixing up your play and firing a second barrel from time to time. Also, occasionally c/r all-in vs a player likely to bet the turn as a bluff is also a good play. In both cases, you have decent equity when called by a 1 pair hand. If you double barrel the turn, you are threatening to play for stacks. It's tough for a bad Q to call there and mostly he won't have a Q. He'll have 2nd or 3rd pair or even air. That board doesn't hit your raising range all that hard. It's likely that he has the best hand if he has a pair and he gets to decide if the pot gets big or not because he's in position. It's not such a bad play to peel there with a pair or 67. It's also not such a bad play for him to raise with a very wide range because it's very difficult for you to continue there without a pair of Q's or better.
I think those will suffice; you should be able to tell what i am looking for by them; a book that explains why players act a certain way in different situations and how to change my play to do better.
Read the Harrington on Cash series. He has a lot of good material on flop, turn and river play given different hands and board textures. He also has a lot of good info on leveraging and deleveraging bets on different streets.
After that, a lot of it is just practice. Note that practice also includes experimentation with different lines.
Finally, I would say that training sites like Stoxpoker (which I belong to and Ed contributes to), CardRunners or Deuces Cracked are excellent resources. Watching excellent players play and listening to them develop reads and strategies is really, really helpful to your game. I know my stox membership has been well worth my investment.