Read and re-read very carefully Plato's Crito (pp. 45-56 in Five Dialogues).  Read it again, even more carefully, and take notes.

At the beginning of the Crito the title character spells out all the reasons, some seemingly compelling, why Socrates should leave Athens before his imminent execution.  It seems fairly clear that the Athenians would not much care if he left.  (Oh, they might fine his friends or even jail them for a few days just to keep up appearances, but all in all they just want to be rid of Socrates and don't really want to kill him.) Some of these arguments have to do with what people will think of his friends if they don't help him to escape from jail and take off for Thessaly or some other Greek city; some have to do with his family responsibilities, etc.  They sound pretty convincing to me.

But Socrates is much less impressed.  In fact, he's not impressed at all, but insists that he should stay and take his deadly medicine, i.e. his hemlock cocktail. What, is he crazy?  But, of course, Socrates so insists only because he believes that the best arguments lead to the conclusion that he should stay.

Your job -- like your paper -- consists of three parts.  In the first part, briefly rehearse Crito's reasons why Socrates should leave, presenting them in what you take to be the order of increasing strength.  (If you think you can do better than Crito, you can even add one of your own.)  In the second part, lay out accurately and concisely the main lines of Socrates' counterargument for the conclusion that he should stay and undergo execution.  In the third part, indicate who, in your view, has the stronger argument and why.