When I called Nokia Care, all they needed was my phone IMEI and my address for shipping. All I had to do was tell them that the usb port broke during normal use (They seemed to know that this was a common problem). Overall, it was a pleasant experience aside from being without my phone for a little over a week.

Make sure you do a full backup to memory card if you have any battery power left as it is likely they will just send you a new phone.