Irony is a figure of speech or literary device in which what actually happens is completely different or opposite from the reader or audience's expectations. Option A is correct. One is not surprised that a left-handed person is called Lefty. It's a nickname we would expect. There is no twist or irony here.
Option B is incorrect. There is contrast between a person being tall and someone calling them "Shorty". There is irony, more specifically, verbal irony. Verbal Irony shows a contrast between what is said and what is meant . Clearly, the person calling them that is employing verbal irony to highlight the person's height. There is verbal irony.
Options C and D are incorrect. There is irony, more specifically, situational irony. Situational irony occurs when the actual result of a situation is totally different (often, completely opposite) from what you'd expect the result to be. In C, clearly the criminal can only be arrogant if he's good at not getting caught. So we would expect the criminal to never get caught. But in this situation, he does. There is thus a contrast between what we expect from a situation and what the actual result is.
In D, the situation here is of a best-selling writer releasing a new novel. We would expect a best-selling author's next book to be a hit as well, but it is the opposite that happens. Thus, there is a contrast between what we expect from the situation and what the actual result is.