There is evidence that the display and hinge suffered from high strain, probably from a fall. I wouldn't be surprised if they refuse to honor the warranty because of this.
But you should still try. Were the screen imperfections present before the damage happened?
Dunno...coz I had called twice for my MacBook Pro graphics failure to apple. And the 2nd time I called, the phone service guy didn't have a clue of my history.
Later on I went to apple store to get it replaced under warranty.
There is evidence that the display and hinge suffered from high strain, probably from a fall. I wouldn't be surprised if they refuse to honor the warranty because of this.
It seems pretty likely that this damage is the source of the white spots. I'd be surprised if they cover any of it under warranty, but as the others said, it's worth taking in to see what Apple says.