First (actually never seen or read Hamlet) I tried my best by trial and error. I got the solution to most of them, except Claudius, Rosencrantz and Gildenstern. I could figure out most of Claudius, but not what killed him.
Rosencrantz and Gildenstern was traveling and that is it. By guessing of different countries in Europe, you can eventually pick it right.
But there it stops. I even read about Hamlet, but when I suggested correctly that he was killed by poison, then the game tells about Gertrude (who was killed the same way, even though only by accident). Rosencrantz and Gildenstern is hardly possible to get anything about even if you know the story by reading about Hamlet.