CE4 is the tank portion (clearomizer), and the battery portion (eGo-style) is the issue. After charging for 3-4 hours, it should be fully charged. Either you have a defective charger, or the battery is not capable of holding a charge... it happens, even with a "new" one... you can't tell by looking at them if they are bad.
Take it back to the store and let them know it won't charge and they should replace it, no questions asked... unless it was bought at a flea-market or similar type venue.
Also, what is the brand-name of the kit? Is there any markings, logos, or identifying marks/labels on the battery? Knowing what the brand is will really help out. Even no-name brands can be quite reliable, but you can get a bad one even from reputable brands like Joyetech, Kangertech, Aspire, and Vision.