While you are waiting on a member to pipe in - on the Navy Button - take a look at Rev War Naval Button? (Nov 30, 2011) - the thread has some great pictures of Navy Button's...
Going back to your first button, I don't think it is military. From what I have learned from the Cannonballguy, I would say it is a fashion button from the fact that the back is iron. The military ones usually don't have an iron back.