That's an awesome find! The orange piece in the chain guard should be plastic if original. Probably very brittle, so be careful with it.
The axle caps were on for shipping, but removed on the showroom. Apparently those were kept on. I would take the one off, but that's me.
Are you sure about the rear tire? It looks pretty bad on the left side, but that may be just the picture. The front can be pretty easy to find. 20x1-3/8". Kenda makes one if you want to go cheap.
Yes, the chrome looks shot. It was pretty thin chrome to begin with. You could rechrome it to restore it, but that could get pricey.
What are your plans with it?