Coasters usually for holding ice tea glass.
maybe @Taupou could help.
https://www.liveauctioneers.com/catalog/208092_summer-estates-auction/
It looks VERY similar to a drawing in a book I had, probably 1944-48, with a story about a deer family.
You might try Restoration Hardware for more pulls.
FWIW, I have used Oxyclean for years to clean up china. Make a solution somewhat stronger than recommended, insert the piece and leave for 2...
Nice one board top and interesting one board side panel. BTW, the house I was raised in was framed and built with walnut.
You might try Reddit for translations.
The mark is too blurry to read.
Wrap carefully in tissue first so the bubble wrap doesn't pull at the feathers.
Separate names with a comma.