ACT IV Multiple Questions

I only need the scene and lines for each question.

What speech implies Ophelia and Hamlet have been lovers?

What is Claudius' new worry?

How does Claudius remind Laeretes of the King's "divinity"?

After Claudius calms Laeretes, what enrages him again?

Why does Claudius say he can't publicly murder Hamlet?

How does Hamlet provoke the King?

How does Laeretes show himself to be different from Hamlet?

What plan for revenge do Claudius and Laeretes conjure?

What bad news does Gertrude bring?

How does claudius show his selfishness once again?