Does the module say Mostek on the IC? (Big black square) (In very small print). I don't want to sign up to view your photos.
Anyway, if the time is running ramped, it might be the quartz crystal gone aray; although the time going that quickly is unusual. But the quartz crystals on those watches can go very easily.
Also note; that the modules are very "dumb" when you first install batteries. You can get funny characters or odd numbers, until you start setting it. But of course, that's not what you're describing.
Jeff