If i were you I would check into why did the boy break his engagment BEFORE i would agree to date him.This is because there may be emotional issues that you may not be aware of, and you do not want to be the rebound girl!
Also once you start dating a person you become emotionally involved and if there really is an issue it’s going to be very hard for you to stop seing the person! That is why it’s best to find out whatever you can before the date!