Hamlet Socratic seminar questions

1 Was Gertrude aware of the fact that Claudius killed king Hamlet when she married him?
2 How is the theme of equality in death in Hamlet represented? What are the major events that hold this theme?
3 How does the meaning of the play change when the age of Hamlet is revealed?
4 How does Ophelia’s suicide play into the equality of death, given that she is receiving a christian burial when she does not deserve one?
5 Is the ghost real, or just a manifestation of Hamlet’s madness?