To the OP:
Are you trying to gain re-admission to the school you were dismissed from, or are you trying to apply to a number of law schools in order to start over? My impression is that you are doing the former, but if you could clarify that point, that might help.
While I do not know of anyone who has petitioned for re-admission, my suggestion would be to contact the Dean's office of your former school to find out what their specific policies are (e.g., submit a whole new application, interview with the deans, etc.). Once you have some guidance from the school, we can try to help you nail down the specifics of each task. Good luck.