I would say the correct answer is the final option - Those who pursue revenge are often destroyed by it.
Hamlet was driven by his lunatic desire to have his revenge on Claudius for killing his father, which is why he wouldn't stop to think about anything else. Laertes likewise wanted to get his revenge on Hamlet for causing his sister's death. As you can see, they did get their revenge, but at what cost? Both of them died, as well as Claudius, Gertrude, and many other characters.