welcome to NICO!!
I also have a black '37 sedan...best color IMO
To keep it clean I recommend a good polish/wax. Zaino has always been great for my vehicles! Not only does it protect the paint, but it stays looking clean between washes longer. As for the auto car wash, if it's a touch-less one, you're fine. You never want to take a nice car in the auto washes that have brushes that touch other peoples' nasty crap. I've heard horror stories of barbed wire getting caught in the brushes and destroying whoever is next in line...
Not sure on the package...call your dealer to find out the details.