Hand one you need to reraise MUCH bigger.

If one person calls that small reraise then it makes it THAT much easier for the other players in the pot to call, etc.

The pot was 8 when it was your turn to bet and you only reraised to 10.

With KK AND being out of position I make this ATLEAST to 20. (on occasion I'll even make it 25). A range of 20-25 reraise preflop is good I think.
If they don't call preflop I have no worries, since the villian(s) chose not to suck out at a more expensice price.

Raise it bigger and we'll see if 44, 86 REALLY want to play this hand.