I agree with your answer to part a). And I think you've also written the right answer for part b): "I know that since the skin is colder than the surroundings, the body will emit more engery than it absorbs and it will cool." I think this is what the question is looking for when it asked for the significance.
EDIT: woops, it should be that the skin is warmer than its surroundings. I'm guessing you just wrote colder by accident, because it looks like you understand the principles pretty well.