Can this mirror be refurbished?

I don't like driving a car that does not have a passenger side mirror. I was looking for one for my 72 Coronet wagon, but it appears these found in the unicorn department. So, let's give a huge shout-out to @Professor Fate ! He saw my wanted ad and dug one out of his stash of mystery parts, and it was free after I paid for the shipping! Thanks Prof!

Finding a mirror is the good news. The bad news is, it's moderately rough. It had no glass but instead a round spot mirror was stuck in it. That was easy to get off. The head is loose to the mounting base but I'm working on getting the screw freed up so I can tighten it down. So far so good. However, the body could really use some help to match the excellent condition of the rest of the car. I've never tried anything like this but figured I'd give it a shot. Here's the starting point.

The back has lots of hazing and little dots on it. Also, just above where it mounts there are several flaked areas in the chrome.



The base and the top of the mirror head have lots of flaking and pitting.





The base has a chip in it.



How does one repair this? It sure looks to me like a lot more work is needed than just taking it in for a re-chrome.