We refer to fallacies as the presentation of a particular argument with a faulty logical construction behind it. In general, a first glance at these types of arguments may give us the idea that they're correct and make perfect sense, because they tend to play with a strong element of deception. However, once we analyse them properly we can identify logical errors in their construction which derive in false deductions (as case number 2 refers to); or an appeal to a certain element that is beside the point as a form of persuassion (like we see in case number 2).
The correct answer to question 1 is option C ("Has anything to do with the conclusion").
The correct answer to question 2 is option D ("Appeal to pity").