Answers
I would like to clarify a point to the given data. Since your application, as family members of your father, has been submitted, it means that the acquisition of the property has already been concluded. If you are still interested in proceeding with the Golden Visa, the submitted purchase contract should be checked by a lawyer and, following a communication with the competent authorities, the necessary corrective actions could take place.
It is not mandatory to do the procedure after a family member has died. The real estate agent wants to continue the procedure, naturally, for the money. The contract can be cancelled.
Depends on if you want to buy it or cancel the purchase.