Hi and welcome to Computer Hope!
Yes, you are correct. You shouldn't have that issue.
It has Energy Star which regulates for screen brightness and will dim after ten minutes and then go black until you move the mouse
I believe this is the energy saving mode of your computer so nothing to worry.
I've got horizontal static lines on my screen periodically which are at the top and bottom of my screen and some finer lines that runthrough it.
This is the issue. You mentioned that your computer is brand new. Have you contacted your nearest service center or the shop? You may take advantage of of its warranty.