You don't need to renew SSN after getting EAD because from SSA point of view you are in same status - you are not permitted to work without INS authorization.
But if have spouse who did not get SSN earlier (for example wife with H4 visa) or had a SSN with "Not valid for Work", can get a new SSN or renew SSN status showing her EAD card.
And obviously after GC approval, you should renew your SSN showing your passpport stamp.