Both can grow mould as cheese is a living bacteria.
No, mold grows on cheese.
Mold grows on cheddar cheese because mold needs moisture to grow.
mold can grow on old cheese
mozzerela
penicillium
no one cares
Cheddar because it taste good.
It all depends on how much surface area the cheese has. Mold grows in colonies and needs a large surface area in order to grow larger. Blue cheese however is basically mold. That is how it gets it's distinct taste.
probably cream
Neither cheese is a molded cheese. However if you were inquiring which one lasts longer in the fridge typically American cheese does as it is not "real cheese" it is a processed cheese food. Where muenster is actually a real cheese.
mold grows on cucumbers because there is cheese cubes in the membrane
no American cheese usually takes days to mold it starts losing its color after a week of it being unrefrigerated.