Many thanks for these images...a lot clearer and a greater range to view. I'll certainly compare them later when I am at home again and relaxing. I'll try and find some Chinese script lists to download and compare also.
Yeah, I might take a step back from these being 'toll dics/tokens' for merchants in a city but not too far back. Let's not forget the two discs with fire-sticks: the one having wanderers, and the other having campers. Those are the bigger ones and make me think of titles of teams.
Besides making me think of an abacus, I might go a little further and say this is an old board game kind of like Mahjong. The holes were for putting the discs on sticks on the board, hence their well-worn appearance and feel to the touch.
The sticks made sure the pieces could accumulate upwards in how the game was played, much like a card game of trumps where certain discs could over-power lesser discs, all depending on what the features were. I guess the obverse with certain signs made them a little more powerful than ones without the signs, even though they had the same main images.
I state this because of what you call "Three miscellaneous pieces": one-eyed guys are not our usual fare.
Maybe the larger discs were accumulated above the heads of the sides playing until 3 or more showed which side actually wins.
Hmm...what do you think?