she doesn't act in act cunning way
Your first answer seems to be right but I will try to answer the rest of the questions if you attach them
Answer:
Claudius assigns Rosencrantz and Guildenstern to spy on Hamlet. He does this because he doesn't believe that Hamlet's love for Ophelia is the sudden change in his behavior. Claudius believes that Hamlet's behavior is due to him still being upset about his father's death.
Explanation:
Got it from google.
Hope it helps :))