If you get that “service can’t be started” error when you try to install iTunes, you can follow this fix.
What causes this error I believe is that there are pending Windows updates which get in the way. You have to first uninstall or remove the iTunes install that is showing you that error when you try and run it. After you completely remove iTunes, restart your computer and let updates do it’s thing with Windows. When you are finished restarted and back at desktop again, go ahead and right click iTunes installer and run as “Administrator”. This time it should finish just fine without any errors.