I did notice at the top of the first picture is either C R or G R either side.
Then wondered if the British Museum might have it - and they do.
It was made in 1662 in Germany
https://www.britishmuseum.org/collection/object/C_M-7532
Bronze medal or counter; thin and in low relief.
· Oak-tree; in the branches, the bust of Charles II, right, and three crowns;
above, full sun bursting from clouds.
· Royal arms, in oval shield, within the Garter, between the Lion and Unicorn:
above, helmet, crown, and crest, between C and R, both crowned.
Below, the motto, and branches of rose and thistle.
Made by: Conrad Lauffer
Technique: silver-plated
Diameter: 28.0 millimetres
Inscription: THE ROYALL OAKE
Inscription content: L G L R
Inscription translation: L. G. Lauffer's counter.
On garter: HONI SOIT QUI MAL Y PENSE
On ribbon below: DIEV ET MON DROIT