I've had the off/on issue for several months and recently it shut off and would not turn back on. I had thought the problem was an ill fitting case occasionally depressing the power button (even though it's an Ellipsis case.
What worked for me was carefully removing the power button (it just snaps out), puff of air, and snap back in.
As for the ghost input, again, I hav had those issues as well as programs opening/closing by themselves. A thorough screen cleaning seemed to solve this. Even if I couldn't see anything significant on the screen, it stopped after cleaning.
It's a nice little tablet, but I won't get another.