So I just called 611 (customer service) to ask them and it transferred me to business customer service.
It's still a "personal account" as my family pays for it (it's a family plan). The only reason it would be business is that I have the FAN number of my university giving me the discount (well, not yet, but in a billing cycle or two). Do I have this right? Am I still a personal account even though I got transferred to business customer service? I mean, my family still pays for it and everything, it is through no company.
I don't care if they take it off in the store, I can always add it back. My main concern is that I'm going to get to the Apple store and it will, for some reason, not work because I'd be classified as a corporate account or something.