I believe that your other items are celluloid. Celluloid appetizer/hors d'oeuvres picks. Also the pick, hatchet/tomahawk, hammer look like children's toys. The cup as well looks like it is for a child.
The one tusk looks like a cribbage board game that I have seen made on tusks - walrus? I would take a look at "Inuit Scrimshaw Walrus Tusk Cribbage Board". (Inuit are indigenous peoples of Alaska, Canada and Greenland.
Also, the carved pieces, Otter or Bear? and rabbit? I would look at carved Inuit tusk, ivory.