Kbuth,
The only reason the computer usage (CPU usage) would spike is if something was being performed in the background. Although you may have closed all the programs in the background it is still possible that something is still running such as a Windows Service and/or even a virus, spyware, or computer worm.
We would first highly recommend that you make sure the latest up to date virus scanner is installed on your computer and that no viruses are detected by the scanner.
Second, with the increased frequency of spyware on the Internet it is also possible that spyware may have been installed on the computer and is causing your issue. See the below document for information about spyware.
http://www.computerhope.com/issues/ch000578.htmIf no viruses or spyware is detected are running try running msconfig and disabling all your startup programs. Once these have been disabled reboot the computer and see if the issue still occurs. If the issue no longer occurs it is likely one of these startup programs installed in the computer is causing your issue. Information about how to do this can be found on the below document.
http://www.computerhope.com/issues/chtsr.htm