Does the person named by the deceased as administrator of will have to file the will?

Yes, the person named by the deceased as administrator of the will is called the executor. The job of the executor is (out of the deceased's estate) to settle all the deceased outstanding debts and pay for the funeral. Then the executor adds up everything in the deceased's estate, pays any outstanding taxes and any inheritance taxes that may be due and presents the account of all this along with the will to a special court called a probate court. If the court is happy with what has been done the executor is then granted a probate document which allows him dispose of the remainder of the estate as the person's will instructs. Without the deed of probate, companies like banks and stockbrokers will not accept the executors instructions to do things with the deceased's property.

The filing of the will is the act of presenting it (and the accounts) to the probate court.