Just a word of advice ...
Most likely Apple will replace your current phone with a replacement phone just because service is required so close to your purchase date.
However, be aware that you may not be receiving a "new" phone per say. As the AppleCare rep told me, they are specifically directed to refer to it as a "replacement phone."
The replacement phone does not come in a sealed box, and in my case the phone itself had cosmetic scratches and damage above the top speaker. It will ship in a shortened (as in height) version of the product box with no documentation, accessories or cables.
The replacement phone ships alongside a return box for the service phone (if you where eligible for a free service phone or paid the $30 for one).
If you are not satisfied with the replacement phone as is, you are still required to send the service phone back immediately. Then they put you through the entire repair process again, sending you a new service phone (collecting your credit card information again), new box to ship the product back, etc.