I have been betting these rivers. Should I be check-raising them?

[Allday Everyday]

So I'm lacking some SH experience. In the past my standard line has been to bet-raise in these and similar river spots. Now I'm thinking they should actually be check-raises. Obviously, these are opponent dependant, but I'm after some general insight on the general plays.

Hand 1:

Flop: Hero EP with K [img]/images/graemlins/club.gif[/img], K [img]/images/graemlins/spade.gif[/img].
UTG raises, Hero 3-bets, MP caps, fold, fold, fold, UTG folds, Hero calls.

Turn: K [img]/images/graemlins/diamond.gif[/img], T [img]/images/graemlins/heart.gif[/img], 3 [img]/images/graemlins/spade.gif[/img].
Hero checks, EP bets, Hero raises, EP 3-bets, Hero caps.

Turn: 7 [img]/images/graemlins/diamond.gif[/img].
Hero bets, EP calls.

River: 4 [img]/images/graemlins/club.gif[/img].
Hero...

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Hand 2:

Preflop: Hero UTG with A [img]/images/graemlins/heart.gif[/img], 9 [img]/images/graemlins/heart.gif[/img].
Hero raises, fold, Button 3-bets, fold, fold, Hero calls.

Flop: T [img]/images/graemlins/heart.gif[/img], 6 [img]/images/graemlins/heart.gif[/img], 3 [img]/images/graemlins/heart.gif[/img].
Hero checks, Button bets, Hero raises, Button calls.

Also, which is better here? Check-raise-capping, or Bet-reraising?

Turn: 2 [img]/images/graemlins/heart.gif[/img].
Hero bets, Button calls.

River: 7 [img]/images/graemlins/club.gif[/img].
Hero...

In the second hand I'm asking, as a general guide (with exceptions), that if a single player in later position calls our turn bet with 4 to a flush on the board, it's (often) a good spot to check-raise a blank river card if we hold the A or K of the suit?

Actually this stuff may be pretty standard? Called 'screw-plays' or something like that?