ClearKote Vanilla Moose Glaze is ideal as a polish on red.
Tyre shines depend on exactly what you're after - you can get a great wet look with something like Poorboy's Bold and Bright - you layer it to get the look you want. It's also water based and not messy. If you want more durability, then use a gel, like Meguiar's Endurance.
HTH
Gareth