You need to try some Polishing compound. Either turtle wax or Meguires will work fine.
It might not make it perfect again but will help. It will also help with some of the swirl marks too. Those wheels are another story. I would clean them real good and spray paint them with some silver wheel paint.
I use 100% white cotton towels and microfiber towels I found at Target. I also use those same foam applicators. I have a regular sponge I use to wash and I also have a sheepskin wash mitt I got from ace hardware.