If some of those reg settings are not there, it's ok the Uninstall took them out. Continue on.
Close and restart computer, and reinstall once your computer is back up. IMPORTANT: DO NOT install SW with any AV (Anti-Virus) running. If you can help it try and shutdown any files that are running in the background. This can lead to potential, and or possible problems later.
IMPORTANT: When installing to the next major release of SolidWorks. DO NOT install directly over your pre-existing SolidWorks. Make a new directory like Solidworks03.