Recently bought a new Dell XPS 12

having the following problem

the cursor get stack

have to wait couple of minutes or need to refresh screen

and now the screen went dead in fact the whole system no lights on the keyboard no sound 

at all, I did what I have to do, plug the power, try to rest by holding power switch 20 second, but unfortunately dead.

then just kept it like that after 15 hours it switch back on by it self, but unfortunately that was in middle of the night, I touched the screen everything was fine, wake up in the morning found it's dead again.

i am looking for a solutions, bearing in mind it's about 20 days old.