Sort of a tough question, because HU play is very dependent on reads on your opponent. If opp has been "normal", at a minimum I'd call AI with those big blinds with any ace, any pocket pair, say KT+ and maybe QJ. If opp has been very aggressive, I'd open up that range to include more Kx hands are say Q8+. If opp has been folding a lot, I'd toss the lower aces and probably the Qx hands.

I can't find them right now, but there are tables showing how various poker hands match up against other hands, and high card power usually rules in heads up AI confrontations. (EDIT: here's the link - http://www.jazbo.com/poker/huholdem.html)

In terms of hands to raise when you're on the button/SB, again it depends on your opp. I tend to raise like a maniac against tight players who fold too much but against loose players I dump the worst hands (crap like 42o, 63o, etc). With marginal hands like J6o and even stacks I might just complete the SB if opp will let me see a free flop by checking the BB.

It's sort of difficult to give general advice on HU play, the best way to get advice is to post a series of HU hands with your reads on your opp and we'll take a look.