2 dolla donkament: Two spots deep in money

[HP_Drifter]

Decided to play a two dollar tournament for fun last night and ran into two spots that I wasn't sure what the correct move was.

Hand 1 - Went for the squeeze and got pushed over by the short stack, which ended the betting, and set up an awkward situation on the flop. That's a pretty good flop for me, but the pot is so bloated that any decent sized bet I make commits most of my stack. Since this is a super-micro tournament, can I profitably push this flop after big stack checks, or am I looking to just check this down, or what?

PokerStars No-Limit Hold'em Tourney, Big Blind is t1000 (9 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Button (t8687)
SB (t3136)
BB (t19261)
UTG (t30616)
UTG+1 (t36740)
MP1 (t8163)
Hero (t28314)
MP3 (t19018)
CO (t12329)

Preflop: Hero is MP2 with T[img]/images/graemlins/spade.gif[/img], T[img]/images/graemlins/club.gif[/img].
<font color="#CC3333">UTG raises to t2000</font>, UTG+1 calls t2000, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to t6666</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">Button raises to t8587</font>, <font color="#666666">2 folds</font>, UTG folds, UTG+1 calls t6587, Hero calls t1921.

Flop: (t28361) 7[img]/images/graemlins/spade.gif[/img], Q[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>

UTG+1 checks
Hero ???

Hand 2 is just a basic tournament question strategy. The HH didnt get recorded for some reason, so I'll just explain it manually:
Folds around to button, who raises to 4x (about half my stack at this point), SB folds, I have Q10o in the BB. In this situation, should I just be pushing since his range is wide and I'll probably be at worst a 60-40ish dog, and possibly ahead?