You may not need something that involved. I would try some Meguiar's Plastix (made for plastic automotive surfaces and motorcycle windshields etc). Novus 2 works well, but is also harder to find. I would try that route first. Be careful with Novus #3. It can be very hard to remove. Usually Novus #2/Novus #1 is all that is needed. Novus is tough to find. Plastix works just as well as Novus #2. I've used both and Plastix is cheaper, easier to find (any auto parts store), a little thinner (easier to work with) and gives just as good (if not better) results than Novus #2. Novus # 1 is still good as a "final coat" to clean and prevent fingerprints, dust etc.
For something a little heavier/more involved, I've used headlight restorer before on vintage/dull wrap, which is essentially wet sanding with an electric drill that attaches the sanding/polishing components. It works well, just be patient and follow the instructions closely. I've gotten great results with it, but I only recommended for very dingy/dull/scratched up wrap. For 95% + of wrap restoration/polishing, I don't need to go that extreme. Typically the Plastix/Novus route is all that is needed.
I have also found that a good quality car wax (used sparingly and buffed/polished off right away) gives great results and really makes wrap shine. Check the ingredients on the wax to make sure it's safe for plastic surfaces. Most of the "new era" waxes are.
For the chrome hardware-Eagle One "Nevr Dull" is the way to go. Any auto parts store should have it. It's a cotton wadding that has the chemical built in. If you use too much, it leaves a milky residue when dry, but that easily comes off with a bit of Windex.
There's always 0000/000 Grade Steel wool for polishing chrome too. That's a touchy subject as it is abrasive, but it does work great. Personal preference.