This is a fun game, but it's driving me nuts.
#1 has to be for cutting something while it's still in a container. His clue: "it's for a special dish" was both referring to the food that it's cutting and the dish that the food is in. It would have to be something soft that could be easily push-cut and that is too delicate to take out of the dish to cut it. Tofu was a great guess, but the knife looks European / western in style. Sooo... that makes me think maybe dairy of some sort? Butter? Cheese?
#3 Has to be for liquid... But what kind of liquid? It looks like is supposed to be pressed straight down (handle up) into a barrel or big container. The liquid would flow over the front edge / open side. Then you tip it up to carry without spilling. This design would make getting liquid out of the bottom of the container much easier than with a scoop shaped more like a traditional cup / cylinder. But what liquid???