Ok, so doing a system restore hasnt solved anything?
Well the only thing I have left to suggest mate is a format and reinstall or if it is only two weeks old possibly you could return it to compaq or wherever you got it from. You said the powercut happened during backing up, had any backups been made previous to that? Can you back up now? If so, and you cant return the machine format, reinstall and restore your backups. However the only thing that is worry in doing this is that the problem could be something to do with hardware that may have been damaged from a power surge due to the power problem. Although Iam certainly no expert on whether this would result in the problem you are experiencing, this is just my thoughts. See if anybody else posts anything of use before you do try formatting.
Aaron
"It's so much easier to suggest solutions when you don't know too much about the problem."
Malcolm Forbes (1919 - 1990)