There is nothing wrong with giving someone another chance, especially if the relationship was not abusive. Often times a relationship ends or fizzles, with no one at fault. Hopefully this time around the relationship has a chance.
HOWEVER
There is a problem when a person overly obsessed and feels that this individual is the ONLY one for them. Really!?? Please ask yourself, Why am I wasting my time when this person is not giving me the time of day? They don't call, text or nothing. Also ask yourself, what did they ever do for you. More than likely, the answer is not a damn thing. Nothing! They did not help you in any shape, form or fashion. So why are you stressing? For the sake of being in a relationship?? Stop it! Focus your energies on a better you. Love YOURSELF FIRST!