The clay pieces would have to be glazed, but you can definitely carve them out of wood. You'd need special equipment if you wanted to carve them out of stone.
I have the same problem with DAS air dry clay. Try adding a little acrylic paint, wetting the clay or washing your hands with warm water. It might become slippery,...
Yes, you can make swords, pickaxes, hoes, and shovels using oak wood. The wood type used when crafting wooden tools doesn't matter, they'll all be the same.
First, you should consider why you are eating out. Are you wanting something fancy, or wanting to spend little money? Then look from there. Also, think about how hungry you...