Best way to fix this scratch??

[clokwise]

Hello all. I've been reading through some boards but this is my first post. So I apologize for not meeting all criteria. I am sure I will get blasted for something Im doing wrong here. I just really wanted to ask some seasoned vets for some help!

I let me sister borrow my car and it came home with a giant scratch(es) on the back end. Its not super deep (my fingernail will get caught when rubbing over it but not very badly). I have attached some images. I have never done anything other than rubbing some compound over a scuff and hoping for the best. So I am about as unexperienced in this area as I could be. I have been looking into products and watching videos trying to determine best product and if they work well.

I came across (again I will probably get blasted for not labeling this correctly or for mentioning it but here goes) The Turtle Wax Scratch Remover Kit that I could pick up at my local auto part store. Would it would very well for something like this? If not does anyone have any good suggestions. I'd love to avoid having it done professionally because its going to be really expensive. I don't expect showroom results but I'd love to have it much better than that it is.

See the attached images. Sorry about the blue car next to me which sort of skews the colors. Mine is black, in case its unclear. One image is of both scratched areas, the other is closer up on the larger scratched area.

Thanks for the help ahead of time!