iPod Touch 2nd Gen, iOS 4.2 acting strange

[space-time]

toddler got a hold of it today and may have dropped it. I cannot tell since there is no mark, it is pristine.

But it's like possessed, I press buttons, nothing happens, then 1 minute later it shuts off, now I press Safari (on the dock) and weather opens up, etc.

I am trying a restore, to see if that helps. Any other ideas? I already managed to power off and back on once, but now it's impossible.