two hands from today's $1500 NLH at WSOP

[nath]

3rd level, 50/100. I just got moved to this table; I've been up and down all day.

Hand 1: I just took the blinds uncontested. Now I have ~1500 and am UTG+1 and see QQ. I make it 275 (standard so far at this table as far as I can tell.) M/LP calls and the button (young kid) calls. They both cover me.
The flop is KT6 (maybe not 6) with two diamonds. I have ~1200 left and the pot is 975. This is a push, right? If it's not, what is it?

Hand 2:

A few hands later. I have 1200 after posting my small blind. Same button from last hand (who has revealed himself to be rather aggressive) opens to 300. Bill Gazes two to his left calls. Cutoff calls. Button calls. I have 87o in small blind and everyone has me covered. Is a push profitable here?