A son by definition has a beginning.
That doesn't apply to an eternally existent God. "Begotten" when speaking of an eternally existent God refers to "cause to be". Since God is the cause of His own existence (He just is), the Father and the Son have eternally existed.
That is just the way it was before creation occurred.
Incidentally, a son has the nature of his father.
An elephant "son" is, by nature, elephant.
An elk "son" is, by nature, elk.
A human being's son is, by nature, a human being.
And God's Son is, by nature, God.
Calling Jesus "Son" is a way for us to try to understand the relationship between the Father and the Son.
This means a son is not a son until his life is generated by his father and he is born by his mother.
Not true when speaking of an eternally existent God.
Jesus is a special case because He was "begotten" in the "cause to be" sense eternally as pure spirit. That means He is not a created being. As a matter of fact, all created things were created through Him. And He couldn't create Himself (that is a logical impossibility.)
So He is God.
But He also took on flesh in the Incarnation and was born of the Blessed Virgin Mary. In that sense, He was born a human being through Mary.
God's covenant requires a son to honor both his father and his mother, they are his parents.
I don't think that is accurate. What exactly do you mean...God's covenant
requires a son?
What if an Israelite (or any) couple is barren? Or only has daughters?
Are they forbidden from having a covenantal relationship with God?
I am skeptical that that is true.
There are no sons who were not born.
If we think in merely human terms, sure.
But God doesn't fit within our merely human thinking terms.
He existed before there was matter, space, or time.
Calling Jesus God's Son is true, and it is also a way for us to understand the relationship between God the Father and God the Son.
But that doesn't mean that Jesus had to be born like humans.
Are you suggesting that Jesus didn't exist until He was born of the Blessed Virgin Mary?
John 1 says that He did exist before taking on flesh. And that He is uncreated, therefore, God.
Peace.