Apple Watch Digital Crown not functioning. It scrolls without turning the crown while on the charger and wont scroll while off the charger.

I say contact apple support via a live chat or phone call. Sounds like the sensors on the touch screen are malfunctioning. If you have apple care they should be able to help. If not, a fee may be required. From there you can do a mail-in repair. If you live near an Apple store that would be the best option though.