Ok, depending on how much faith you put in the pricing guide here:
Price vs. Condition - Vintage Airstream
Your trailer is probably in the range of $5200-$8900. Again, a more accurate means of pricing your trailer would be to check out complete auctions on Ebay for similar trailers.
There was a Bambi that sold recently, that doesn't sound like it is in dramatically different condition than yours (except for the shiny polish job), that sold for over $13k. If you could raise the expected sales price from around $6k to double that by having your trailer polished, then it might be worth investing a couple thousand in the effort.
1963 Airstream Bambi Vintage Trailer in RVs & Campers | eBay Motors
Looking at this auction, only two people were bidding on it, so it might not be a valid data point. Besides, I think the polish job blinds perspective buyers who are not familiar with these trailers to the issues.
In sizing it up, I would say you get extra points for having already replaced the axle, but you lose points for the dorm refrigerator, the water heater needing repair, and the doubled rows of rivets on the front end-cap are a cause for concern.