Multiple simptoms, we need to break it down to one at a time.
First thing to check: When you turn on, or reset your cube, what color (cyan/blue/yellow/red/magenta/orange) and state ("breathing"/flashing/steady) is the LED at the bottom module (the photon -- the LED I'm referring is the one located between the 2 tiny buttons -- SETUP and RESET)?
I'm talking about this guy:
In normal circumstances (photon claimed, WiFi credentials registered, the works) it should be in "breathing" cyan state.
Also, have you already given Cube Doctor a chance to try and fix your cube?