Before the death of a pope is made public:
The camerlengo ceremonially verifies the pope's death by calling out his baptismal name three times over the body. If there is no response, a death certificate is authorized and the event is made public by notifying the cardinal vicar for the Diocese of Rome who then announces it to the world. There is an old custom that is no longer followed whereby the camarlengo would gently tap the forehead of the dead pope three times with a small silver hammer at the same time calling his Christian name to check for a response.
Of course! A new pope would not even be elected unless the sitting pope either dies or resigns.
No, when the pope dies a new pope is picked.
The pope's chief of staff, called the Camerlengo
The pope is replaced when he dies or retires or resigns.
We will not know until the current pope dies and the Cardinals choose a new pope in a secret conclave.
When the standing one dies.
The pope's service ends on the day he dies or retires.
No, his posessions are cleared out and the next pope moves in.
A new pope is elected by the College of Cardinals.
If the reigning pontiff dies or resigns it is necessary for the College of Cardinals to elect a new pope.
The camerlengo takes the place of the pope if he dies as the acting head of state of Vatican City. The College of Cardinals is in charge of Church affairs during the period between the death of the pope and the election of a new one.
Before the father dies, no. After the father's death, not automatically, but usually provided as part of the procedure obtaining their consent to probate of the will.