Removing the spots is the 1st challenge, I'd get the surface cool in the shade, try some Windex then diluted white vinegar then straight white vinegar, ultimately a polishing compound.
I've been using ArmorAll Ultra Shine Wash & Wax Detailer lately on our DDs. Spray on, work with sponge & wipe off damp with microfiber cloth ...Noticed that the wiper arms on the GT stayed relatively flat whereas some products have given more of a sheen to them.
Wash & dry your car in the shade.