I wouldn't despair too much about the state of your car's chrome. Snow White's were similarly pitted, the colour of pewter, and they sure weren't going to win any awards. At the same time, they were the least of my worries when I bought the car.
While I was uncovering Beings From Another Planet in my collant passeges and what not, I simply removed the bumpers, front and rear, the grill and surrounds, both the seats, all the wheels and chrome bits around the door openings and everything I could get my hands on and brought them inside. It is way too cold in the winter in Ontario to do this kind of work in the garage. Your polishing compound will literally freeze in ten minutes.
There are pictures of my results somewhere near the end of the thread "Barn Find." I never did publish the "before" pictures, as it took me a while to figure out how to post pictures at all! But I have the before pictures if you'd like to see them. They are not far off what I see in your pictures.
And really, when you get right down to it, cosmetics are just that.
I am sure there are a million products on the market that would do the trick. I used Maguire's Ultimate Rubbing Compound, same as on the body of the car. When I got rid of the worst of the pitting, I switched to Chrome Polish of some make that escapes me.
The chrome now looks, in a word, great. At least to my eyes anyhow, which to me is all that matters.
Oh...and to give you hope in your slow revival.
I didn't even attempt to start Snow White until I'd owned her four months.
When I got her road worthy, I got exactly 20 miles before she began to act up.
Dirt in the fuel tank was the culprit.
I didn't do the gas tank in the first place because I was being cheap.
Got everything sorted six months after I bought her.
Since then I have done basically nothing but cosmetics.
Twist the key, and she fires instantly.
Doesn't leak fluids from anywhere.
Doesn't stall. Doesn't overheat.
Sure I change the oil and filter. Fill with gas. Putter and make her look pretty.
Having never owned a Pagoda, the ownership experience for me has been a pleasure.
I wish you the same.