Re: 3:
Also, I don't want to re-invent my logic, but once he c/r, that removes KK from his range completely. At this point he either has an ace the got aggressive with pf and then slowplayed for two streets, he has a set, or he's trying to push me off the hand. I think the set hands are less likely in his l/r range than big hands and bluff hands, so I discount those a little. With his range being mostly bluffs and slow played aces (and by aces, I mean Ax more than AA), the pot is big enough I really think calling the turn and river is fine against his range. However, that wasn't really my logic at the time.
Obviously if he is willing to l/r with weak hands, checking behind on the turn is more exploitive of his range.
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