If a petition was filed for you before April 30th, 2001 you may have a chance. Otherwise follow the dream act, as that may help you. Read the link below.
You have some issues. Your use of a false ssn can be considered a crime involving moral turpitude even though there is no conviction. It certainly can be held against you in any discretionary determinations. You should discuss your matter with an immigration attorney and not rely on message boards. There could be things in your past that that could help you obtain status.