I went back and looked over old A.P.English Literature and Composition Tests to find a good essay question for Hamlet. I found one I feel is germane to what you have read: The 2008 English Literature and Composition Test, Question 3 (40 minutes). I simplified this question and tailored to fit Hamlet.
You may wish to refer to the October 29th blog posting on foils.
Hamlet has two foils in this play, Fortinbras and Laertes. Write an essay in which you compare and contrast Hamlet to each of these foils and in which you analyze how the relationship between these minor characters and Hamlet illuminate the meaning of the play. Substantiate what you say by making accurate specific references to the play.
This will be a closed book essay test.
Prepare to write this essay and be sure to get to class early.