I don’t think “Father” is a name, I think it’s the title of a Person. And I think Jesus was always the name of the Son; it’s not so much that he was given the name name “Jesus” by Mary and Joseph, but that the angel told them to call the child “Jesus”:
“Thou shalt call His name,” he says, and not, “shalt give Him a name,” for His name had been given from all eternity. (Bl. Maurus Rabanus, in the Catena Aurea on Matthew 1:21)
And yes, the name of Jesus is important: “at the
name of Jesus every knee should bow” (Phil 2:9-11).The custom of bowing the head at the mention of His Name was
formally written into law at the Second Council of Lyons, A.D. 1274, convened by Pope Gregory X: “Those who assemble in church should
extol with an act of special reverence that Name which is above every Name, than which no other under Heaven has been given to people, in which believers must be saved, the Name, that is, of Jesus Christ, Who will save His people from their sins. Each should fulfil in himself that which is written for all, that
at the Name of Jesus every knee should bow; whenever that glorious Name is recalled, especially during the sacred Mysteries of the Mass, everyone should
bow the knees of his heart, which he can do even by a bow of his head.” (
FishEaters.com on
posture)