You appear to be using desktop software (CD/download). And did you do an in-program upgrade from Deluxe to Premier? If so, a second computer would not know you upgraded the software on the first computer.
You'll need to speak to TurboTax Support by phone to resolve this.
If it were me, I'd ask them to provide you a download of the actual Premier installation file, so if you ever have to reinstall for some reason, this won't happen again in the future.
If you are an Advantage member (annual subscription), log into your Advantage account and scroll down past the FAQ links. Near the bottom of the page you should find a special Advantage phone number to directly contact Customer Support.
If you are not an Advantage member, use the form at the link below to schedule a callback. Hours are 5AM-9PM Pacific (8AM-12 Midnight Eastern) 7 days/week.
https://support.turbotax.intuit.com/contact
