Hamlet seeking revenge on his father's murder. Hamlet uncle kills Hamlet farther and don't tell anyone. Hamlet finds out by the ghost of king Hamlet who says “The serpent that did sting thy father's life Now wears his crown.” and tells him that your uncle has murder me in the yard. Hamlets was scared at first. Hamlet had to make sure that did his uncle kill his father. Hamlet made a play about it. Hamlet finds out that his uncle did and he kill his uncle.
Laertes is seeking revenge for his sister and father. Because
Hamlet have killed Laertes father and lead his sister to suicide by telling her that he loves her and not and kill her father too. Laertes gets his revenge and kills Hamlet with a poison sword.
Fortinbras wants revenge on his father's loss on land. Fortinbras wants to take the land that his father lost and become king. Fortinbras becomes king because everyone in the kingdom that was royality have died and Hamlet wanted Fortinbras to run Denmark because Fortinbras is royalty.
Hamlet seeks his revenge for his father's death. Laertes seeks for his revenge on his father and his sister death. Fortinbras seeks his revenge for his father loss on land. Everybody have revenge their family loss and deaths.