No, you can't change your payee I am sure about payee don't know about SSN. incase if you want to change payee you would have to close and re-open new account.
I think you can change your payee and address and even change form a business account to a personal account. You will lose all your old reports though. Obviously the best way to get the answer is to mail the adsense support.
Nriweb, This is for sure that you cannot change payee name, check the link below. https://www.google.com/adsense/support/bin/answer.py?answer=9906