I think it is Alliteration
Persuasion is defined as the act of trying to convince someone of something, or the means of convincing someone to do something. When someone lists all the reasons why you should do something, this is an example of persuasion.
1. Is definitely irony, but number two does seem like it, but I don't see how. Irony is more, thing's that people normally would do. Like "the young boy smiled before he died." is an example of irony.
Both "her" and "their" could be used correctly in this case, but i'm presuming they want you to write down "their" if it is a single choice question.