You should always clean and sanitize surfaces and utensils before every use as bacteria and germs live on surfaces. It is especially important if you are eating off it like a spoon or fork.
To me B because the children should at least be warned before you give them their consequence so that maybe they take that as a threat and they will not do it again.
The egg dish that is best eaten with a spoon is omelet - letter D. Because all of the other choices are not sticky and wouldnt cause much mess on your hands if you eat it that way. While omelets are oily so you should eat it with spoon.