Hello
I think the first and most tranquil is that you wear warranty, since as mentioned would not be a problem yours.
Something you could try is also off and connect it to the charger and see if you turn on the screen so that it discards Hardware.
If so you could try to enter Download or Recovery mode (with this you could restore your computer)
If you have information, try turning it on and calculates the time which should already be on.
Comets have if there is a solution before going under warranty