Firstly, the screw problem is not uncommon. A friend's Signal has the same issue. Try tightening each screw 1/4th of the way in to get them started, then go corner to corner tightening. They'll all go in.
If you tighten one all the way down, it'll pull the binding up from the board and the base plate will not be positioned correctly.
As for the scratch, it's cosmetic at best. Yeah, It's not as pretty anymore, but it's the perfect excuse to get some decals going. You can find them super cheap on Ebay and can even customize the color on some.
Cover it up and be happy. You still have a new board...she just got slapped by crowded lifts.
If you want to be a chick, a dude, a tent, or a velociraptor be my guest, but if you choose the last one you bet your ass I will have a spaz-12 to your face.