Hamlet's suspicion and resentment towards those around him are prompted by the revelation of his father's murder. The ghost of King Hamlet appears to the prince, informing him that he was murdered by his own brother, King Claudius, who then took the throne and married Queen Gertrude, Hamlet's mother. This news shocks and angers Hamlet, causing him to question the actions of those around him and sparking his desire for revenge.
Throughout the play, Hamlet's suspicions and resentment only grow as he uncovers more evidence of his father's murder and the corrupt dealings of those in power. He becomes disillusioned with his friends and loved ones, and their inability to see the truth only adds to his anger and frustration. As a result, Hamlet becomes consumed by his desire for revenge, causing him to act erratically and putting those around him in danger.
This plot event sets the stage for the central conflict of the play, as Hamlet struggles to navigate the treacherous political landscape of Denmark while trying to uncover the truth about his father's death. Through his actions and interactions with those around him, Hamlet's suspicion and resentment drive the narrative forward, leading to the eventual resolution of the play.
In conclusion, the revelation of King Hamlet's murder and the subsequent actions of King Claudius and Queen Gertrude prompt Hamlet to become suspicious and resentful, setting the stage for the play's central conflict and driving the narrative forward.