Winners or Losers???

[Kurn]

The situation you describe is very opponent-specific. An aggressive player will play Ax (where x=anything) like that against a preflop raiser in the assumption that because they now know that 2 A's are already out, it makes it more likely the preflop raiser holds KK-99, KQ, KJs, than a bigger ace.

Out of position, if I bet the flop and am raised, I'll three bet with the intention of following through on the turn (unless my opponent is LP or TP in which case I'd call the flop and check-fold the turn if unimproved).

In position, if opponent bets and 3-bets my raise, the choices are more varied based upon my opinion of the opponent and my perception of my table image as well as the texture of the board. Too many permutations to cover in a general answer.

It's usually not a good idea to get in the habit of folding to one more bet on the flop after you've shown strength. Even at lower limits, that will be noticed by a couple of opponents.

To answer C: In position that depends on the texture of the board and what the action was like on the turn. Out of position, if there were obvious draws on the flop that didn't hit, checking on the river might induce a bluff from a busted draw.

You bet the river heads up when you believe that you will have the best hand 55% of the times you are called.

Hands that fit your scenario would be good hands to post. It's easier to examine strategy when looking at specific situations.