A laptop can't charge a tablet properly. It requires too much current. Use the mains charger and give it quite a few hours.
If you've totally flattened the battery you might have damaged it (the battery). In normal use it will shut itself down to prevent this, but if you insist on restarting it repeatedly after that point, damage can occur (you would have to work at it to do this).
Others have given sound advice: long charge on mains, hard reset then see if it behaves. I have a Galaxy Note 10.1, which is similar. On mine you can change the battery - needs care but DIY-able. If it hasn't worked at all since it arrived, you might have to return it, as they ship with some charge (not much) already in the battery, to protect it.
E.
PS: I found to my annoyance that a car USB charging adaptor also has difficulty.