$22: Villain pushing every hand

[KCW12]

Villain is two seats to my right and is short stacked initially. At one point, he announces that he has to leave and proceeds to go all-in every hand. He takes the blinds a couple times before this hand happens:

PokerStars No-Limit Hold'em Tourney, Big Blind is t50 (8 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

MP1 (t1735)
MP2 (t1525)
CO (t1230)
Button (t425)
SB (t2355)
Hero (t1320)
UTG (t2660)
UTG+1 (t2250)

Preflop: Hero is BB with A[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#666666">5 folds</font>, <font color="#CC3333">Button raises to t425</font>, SB calls t400, <font color="#CC3333">Hero raises to t1320</font>, SB calls t895.

Final Pot: t3065

SB in the previous hand was not a very good player, so I felt I was in decent shape. A few hands later:
PokerStars No-Limit Hold'em Tourney, Big Blind is t100 (8 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB (t1735)
UTG (t1525)
UTG+1 (t2485)
MP1 (t1275)
MP2 (t885)
Hero (t1765)
Button (t1405)
SB (t2425)

Preflop: Hero is CO with K[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/heart.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">MP1 raises to t1275</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to t1765</font>, <font color="#666666">3 folds</font>.

Final Pot: t2700


I'm pretty sure I made the right move both times, but the results didn't go my way. I'd like to see what other people think. Also, what range of hands would you push in both situations, given that the villain has a random hand?