I thought the game was delightful, short as it is. While all of the additions you ache for would definitely improve on the game, I had a wonderful time exploring the island and felt the ending wrapped things up just fine. (Unlike, say, Firewatch. Ech.)
You can destroy it - I also destroyed it, accidentally. If you find it in your inventory, then choose to inspect it, Claire notices it's actually a gold coin attached to string (or something), and you can choose to take it apart (destroying the medal and giving you 1 coin) or keep it. I wish I hadn't destroyed it, but maybe you won't :D