It's probally way to late to say this, but you went about removing the overspray the wrong way to begin with.
Heavy cutting is a last resort, you should have clay blocked it, using a special clay that is designed for that sort of thing.

But if the over spray is all off now, just switch to a good product like Meguiars, Mothers, etc, and just read and follow the instructions on the packs, they should remove the swirls and bring back the shine if used properly.

Stay away from gimic products that make all sorts of all in one type of claims, there are no short cuts, often you need like 5 steps to really clean it all up back to normal.
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My 85 760Ti, and her name is Veronica...