Is there a way to reset your computer enough to let you create a New Apple ID?
No need to reset your computer to create a new Apple ID account.  Simply sign out of the existing Apple ID.  Once signed out you will have a login that will allow you to create a new account. If you don't want to sign out you could also create a new user account for your computer, sign into that new user account, then create a new Apple ID in system preferences under it.  You can also use iTunes or the Apple ID website to make a new Apple ID account.  To create the iCloud portion of the account you have to sign into iCloud with the Apple ID using an Apple device.