2. Metatheatre – Play within a play(awareness)
The Murder of Gonzago is how Hamlet plans to affect the mind of Claudius, and bring him face-to-face with what he has done.
Hamlet sees theater as didactic: he uses it to teach a lesson to his usurping Uncle, and he's not very subtle.
Many lines resonate with dual meanings because they are said within a theater, but they also make sense in the context of the play

3. Gertrude’s line “The lady doth protest too much, methinks.” (line 236)
Often misinterpreted
The misinterpreted meaning of “protest” as “put up a fuss” is certainly there, but it is a secondary meaning, unconscious by Gertrude
“Protest” in this sense means “act;” Gertrude is saying that the person playing the Queen in the play is a bad actor

4. “how his audit stands, who knows, save heaven?” (III.iv.82)
Hamlet poses another theoretical problem; - Can he allow his uncle’s soul to be cleansed and free to go to Heaven when he does not know the fate of his father’s soul?

5. The most he can say is that “in our circumstance and course of thought / ’Tis heavy with him” (III.iv.83–84).
Having proven his uncle’s guilt to himself, Hamlet suddenly finds something else to be uncertain about.
now craves metaphysical knowledge, knowledge of the afterlife and of God, before he is willing to act. (

6. Hamlet seems to be concerning himself with complex distractions
Hamlet seems to be concerning himself with complex distractions. Killing a human being in cold blood might be too much for him to handle.
Is Hamlet afraid to kill the king/having second thoughts?

7. What is Hamlet trying to do in his confrontation with his mother?
Sigmund Freud wrote that Hamlet harbors an unconscious desire to sexually enjoy his mother. Freud maintained that all men unconsciously desire their mothers in this way, and he called this the “Oedipus Complex,”

8. Hamlet is quite remarkable.
He says that while Oedipus actually enacts this fantasy, Hamlet only betrays the unconscious desire to do so. Hamlet is thus a quintessentially modern person, because he has repressed desires.