Spectre and I have gone back and forth about the FX35 vs The Passat Estate (The Passat is still better) but i have to agree 100% with the man.
First,
DO NOT DO IT YOURSELF!
This is a new car, you are just going to be going from doing something dumb on accident to doing something on purpose. If this was just paint transfer, were you rubbed on on something that yeah maybe you can do it yourself. On my passat someone with a white car rubbed my car on a parking lot, all it took was a clay bar, paint polish and it was good as new. But again, his paint was the one that lost the battle and was on my car.
In your case, your seeing bare metal and it will rust asap. Also its dented metal, which makes it more of a work so this is not good. Go to a Nissan Authorized Dealer, and, that does not always mean the Sales dealer FYI. That way they are specialized in working with your car and paint, and any warranty issues are covered. It will not be cheap, the quote of $300 is way too low. Most good body shops will want to paint the whole panel to make sure it matches (A key thing to a good paint job) and blend it with the rest of the car. Nissan's dont have a very tricky paint like, say some of the paints on Mercs (like mine) but a good body should will be able to do it.
As for insurance, if you did not hit another car actually they might not raise your rate for the first time. Also since i think the car is your parents they wont fuss to them too much. Most insurance hate paying to other people where they lose more money. But paying out of pocket is also not bad in a case like this.
Just please, dont, paint yourself. Go play with a beater or when your at the body shop ask them if you can have some take offs that one one claimed and play with those.