Mike,
Called the number and got through to someone who was very nice in Business Care. Apparently my account was a little messed up from the start; she said it was "between a personal and a business account, using a tax ID but under my name." So, she was able to create a new account, move the lines over, and presto! I was able to get on the premier website and order my iPhones today. Other than the call taking an hour and thirty minutes, it was pretty easy and they were very nice.
In addition, when I first logged on, I still couldn't order the iPhone. However, after starting a trouble ticket, the online support tech fixed my account within 2 hours. The phones are on their way!
Thanks to all for your suggestions and help.