In short, Crito appeals to Socrates based on friendship, philosophy, and family to consider escaping from prison. Crito fails.
In my opinion, Crito was very unpersuasive for two reasons. First, most of his reasons were emotional appeals and not philosophically rooted. Fear of death should not control a man. Socrates whole life has shown this.
Second, Socrates always saw himself as a person to help the city. So, to escape and break the laws, even though the laws wrongly accused him, would go against his mission in life. It would also set a bad example.
In light of these points, Crito was unsuccessful.