Galaxy nexus stop charging will Verizon send me a new unit.

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http://forums.androidcentral.com – hi, my nexus just started not charging unless you place and hold the charger in a certain way. I sitlll have the warranty on it(it is ending on the 15th so thank god the phone stated acting up now. The only thing worrying me is that i have a cracked screen. and in the warranty i believe it states it does not cover cracked screens so i am very worried that they will not want to send me another unit because my screen is cracked even though its charging port has nothing to do with the screen, if you were in my position what would you tell the Verizon employees and can someone please post links on (HowTos)