All of us have a few oddballs we haven't been able to identify. I picked out about a dozen of mine and will post them here a few at a time. Any help with identity or value would be appreciated. #1 is a real head-scratcher. At first glance, it looks like a 2 Reales Charles III issue of Spain. However, the date (1711) is wrong for this ruler and the Carlos monogram doesn't appear as a design in Krause. It appears to be silver and my best guess is that it's something like a "jeton" of France (fantasy coin). #2 is a medieval dime size thin silver coin that might be Papal States?
Off the top of my head, I'm not sure exactly where they're from. However, you have a time frame and the correct ruler, so usually when I find a coin like this I head to one of the colonies - so think South America (Peru, Mexico, etc) or the Pacific (Philippines, etc). If I have some time I'll look around and see if I can find it.
Of course, another thing you can do is google "1711 2 reales" and links like this come up, which would lead you then (by searching for "KM PT5 1711 2 reales" to the NGC page for the KM PT5 (no photo there, sorry.)
The first one is a two reales of Charles of Austria, later known as Charles VI of the Holy Roman Empire, when he was pretender to the throne of Spain from 1705-1714. The Hapsburg pretenders to Spain last a long time and some, like yours, issued coins. There is even a Hapsburg pretender, Charles VII, who issued coins in the 19th century! Your second coin is a 1/24 Thaler of Peter Philippe of Dernbach, as Prince-Bishop of Bamburg. It is dated the year of his death, 1683.
The pretender coins were struck at Barcelona from 1707-1714. The catalog value is $65.00 in VF. The 1/24 Thaler is the AL variety, so the mintmaster’s(?) initials are AL. It catalogues for $12.00 in VG.