How does the play-within-a-play in act iii of hamlet represent elizabethan drama?

a. by teaching a spiritual lesson to the characters of the play
b. by imparting historical detail about shakespeare’s england
c. by criticizing the country’s political policies of the day
d. by offering a realistic portrayal of human behavior

I'd say that the play-within-a-play in Act III of Hamlet represents Elizabethan drama A. by teaching a spiritual lesson to the characters of the play.
Hamlet used this play-within-a-play to discover whether his doubts about the king are true - he reenacts the events from his "real" life where Claudius indeed killed the previous king to see whether he will reveal himself as the murderer. He wants him to know that he knows of his evil doings and that he is on to him. This is a lesson to both Claudius who is now aware of the fact that Hamlet suspects him and to Hamlet, who has confirmed his doubts.

The king of france loved the italian renaissance so much that he all of the above