Did you hit the screen or the tablet was drop down to the floor ? If yes,maybe the screen is cracked. If not, then maybe it's a circuit problem in the capacitors of the motherboard that send the GPL_KL sensor to light up the screen.
Yes the Linux everytime needs a login password from the admin to open so you have to change O/S or get used to it ... I am joking .... to make humor . Here is your solution: https://community.linuxmint.com/tutorial...
The cheapest i can find is : http://www.ebay.com/itm/A-Touch-Screen-Digitizer-Front-Glass-No-LCD-For-LG-G-Pad-X-10-1-V930-Black-/231923989430?hash=item35ffbf3bb6:g:KTQA... They ask for a lot of money. I am doing this job and i get paid like 40$
Like the 1st thing that i say to everyone,and most of the times it works like 70% at least is ,factory reset your phone. If not change the battery, If not send it to the company you bought it from , and replace any component needs changed.