Is there a way to fix these scratches on my MacBook Pro's screen?
I'm surprised no else one has said it yet:
This is a nearly brand-new MacBook Pro still covered by warranty.
There is absolutely no reason that your keyboard keys should damage the display like that.  This is a design flaw that has existed in their laptops at least as far back as the PowerBook G4.  The keys should not touch the screen when the lid is closed under any circumstances, but they invariably do.
I have to clean my screen every few days to get rid of the keyboard imprints, but luckily have taken no damage to the screen (probably only because I use the awesome Moshi keyboard cover, which also saved my MBP from a hot tea disaster).
Take it to Apple and make them fix it under warranty!