I just got it, and whoever previously owned it didn't take care of it worth anything.

Will Zaino do the trick for the swirls?

 

Well, it, very much, depends on the severity of what you're seeing. Do you know what the previous person used for surface protection? A lot of what you are seeing, if they took care of their car fairly well, could actually be in the layers of surface protection. I suggest you strip the car down to where there is nothing on the car except for plain ol' clear coat.... then inspect it to see if the swirls are still there.

 

What color is the car, I would clay bar it first thing....