are the obligations of the executor to the beneficiary of deceased Father's will

the executor does not have to give the beneficary the death certificate but does have to provide a copy of the will and a notice that this will was admitted to probate.  If the executor is represented by an attorney, the attorney commonly sends out these notices.  If you are the beneficiary and you are looking for information, call the surrogate in the county in which the decedent lived, and ask if a will in that person's name has been probated, nad if it has you can get a copy of the probate file, which will include the attorney's name if any.