Well, if you are really are using OneNote "2007" (as opposed to the current "2003"), that application is still fairly beta, so maybe you are running into bugs because of it??
As far as the battery thing, I've had the exact same issue with several Dell laptops at work, and the solution was the same -- remove all power, cycle the power switch for a few seconds, re-apply all power and reboot. Everything was good after that, so I guess the only comfort I can give you is that your issue certainly isnt unique. :)