Try cleaning your screen.
When I plug it in to recharge it is fine, showing anywhere from 50 to 75% battery charge and works perfectly, If I let it go it dies.
If you let what go, what dies? How can you see the device jumping pages and apps without your input if it dies?
I agree that the first thing to do when it starts acting like a ghost is running the tablet, this first thing to do is to clean the touchscreen. Grease or gunk can make capacatitive touch screens act funny.