Hi Laura,
welcome to the NMB forum.
These plaques are looking like decorative items, MEIJI era or later, maybe for the tourist trade. They seem to be press-molded, the casing is probably made from a different alloy, perhaps nickel silver. I do not see typical SHIBUICHI colour, instead it might be SHAKUDO or blackened copper.
The exact purpose will be difficult to guess; I have no clue.
Cleaning should be done with great care! A soft brush or a moist cosmetic cotton pad should work in case there was really dirt on them. Any abrasive material (or rubbing) will damage the patina beyond repair. True SHAKUDO will somewhat "heal" its patina after a while, but not blackened copper.