Not sure what's "baked" about spiderwebbing and swirls, though often they can be the result of improper washing and drying, and yes, that includes doing so in the hot sun.
We'd recommend you wash, clay and then use our 3-step Ultimate Wax System -- all components are available at your local Pep Boys or online: California Gold Car Wash, Pre-Wax Cleaner, Sealer & Glaze, and Pure Carnauba Wax paste.
You can apply them by hand or with our PowerBall 4Paint, and you'll be able to do a more thorough job for the best results. Try two applications of Sealer & Glaze in a test spot to see if you see any improvement or not.
Protect it with the Pure Carnauba Wax paste which can also be applied by hand or PowerBall 4Paint.
Remove all products with a quality cotton terry or microfiber towel.
Though only one bucket is shown, try using two buckets during a wash:
Clay:
Though the FX SynWax is demonstrated here, apply products in this fashion:
Follow every wash by drying with FX Spray Wax for added gloss and protection, or at least Showtime: