One extended service plan per product. Must be purchased within one year of product purchase. Hardware must be in original working condition. Extended service plans do not cover preexisting damage. See terms & conditions for details.
It would seem to me that as it is specifically stated that the unit must be in original working condition, and that Extended Services plans do not cover preexisting damage you will not be covered anyway.... Just my two cents here. Not that I work for HP or that I am a lawyer.