I am not sure if anyone gets true closure after a break-up. You shouldn't feel pathetic. I can't tell you what you should or shouldn't do. One thing I will say is that you shouldn't keep your life on hold in anyway. You have a new job, live in one of the greatest cities in the world and have your whole life ahead of you. I guess what I am saying is be open and let the possibilty be there for someone else who may be better fit for you...