Staingate New Macbook pro

You can easily remove the staingate by cleaning your screen with some rubbing alcohol on a cotton pad. Apply some pressure and go over the complete screen in a small circular motion.

It takes about 10 minutes and afterward your screen looks like new. I just did this on my MacBook Pro retina.

Take it to an authorized service center for evaluation. It is hard to tell what is on your screen without looking at it.

What did you use to clean the display? Can't tell what the spots are from the pics. If the computer is less than a year old as you say it should be under warranty.

How to clean your Apple products - Apple Support