Wow, what a big bummer. I'm so sorry to learn that the screen on your new phone has a crack in it.
I don't like being the bearer of bad news, but a cracked screen is not something that is covered by the warranty. Did you happen to add insurance to the device? You can then file a claim for it 888-881-2622 or phoneclaim.com/verizon if you did not opt in for the insurance, did you get Applecare for it?
Follow us on Twitter @VZWSupport
If my response answered your question please click the "Correct Answer" button under my response. This ensures others can benefit from our conversation. Thanks in advance for your help with this!!