Read the ops limits that came with the ship. If it contains a statement like, "sale of this aircraft invalidates this Airworthiness Certificate", then you can not fly the ship using the old a/w certificate and ops limits. If it does not contain this statement, you can fly the ship and I believe all that is needed is a new Program Letter sent to your local Federallies.

You are allowed to fly with the temporary Request for new Registration if the pink carbon copy is carried in the ship.
JJ