Do you think all words that describe the relationship between two beings are analogies?
That's a trick question - there are not "two beings." But if you would amend that for "to describe the relationship between the Father and the Son" then I would probably say yes. If you have specific examples I could answer specifically.
Do you have a problem with God giving His Son the titles that He alone had before He gave them to His Son?
The Son already had the right to those titles by inheritance, he had those titles before the world began. He put aside those titles and that glory for the purpose of walking among us manifest in the flesh.
John 17:5 KJV
(5) And now, O Father, glorify thou me with thine own self
with the glory which I had with thee before the world was.
Hebrews 1:1-4 KJV
(1) God, who at sundry times and in divers manners spake in time past unto the fathers by the prophets,
(2) Hath in these last days spoken unto us by his Son, whom he hath appointed heir of all things, by whom also he made the worlds;
(3)
Who being the brightness of his glory, and the express image of his person, and upholding all things by the word of his power, when he had by himself purged our sins, sat down on the right hand of the Majesty on high;
(4) Being made so much better than the angels,
as he hath by inheritance obtained a more excellent name than they.
That glory is the brightness of the glory of God, and it belonged to Jesus as he possessed with the Father before the world was.
Which brings us back to our opening topic statement: will God give his glory to another?
Isaiah 42:5-8 KJV
(5)
Thus saith God the LORD, he that created the heavens, and stretched them out; he that spread forth the earth, and that which cometh out of it; he that giveth breath unto the people upon it, and spirit to them that walk therein:
(6) I the LORD have called thee in righteousness, and will hold thine hand, and will keep thee, and give thee for a covenant of the people, for a light of the Gentiles;
(7) To open the blind eyes, to bring out the prisoners from the prison, and them that sit in darkness out of the prison house.
(8)
I am the LORD: that is my name: and my glory will I not give to another, neither my praise to graven images.
If Jesus made claim to possession of the glory of God the Father before the world was, assuming he was familiar with these scriptures, he was also identifying himself as the LORD.
Isaiah 48:11-12 KJV
(11) For mine own sake, even for mine own sake, will I do it:
for how should my name be polluted? and I will not give my glory unto another.
(12)
Hearken unto me, O Jacob and Israel, my called;
I am he; I am the first, I also am the last.
And by now we all know where "
the first and the last" leads.
Revelation 1:17-18 KJV
(17) And when I saw him, I fell at his feet as dead. And he laid his right hand upon me, saying unto me,
Fear not; I am the first and the last:
(18)
I am he that liveth, and was dead; and, behold, I am alive for evermore, Amen; and have the keys of hell and of death.
Jesus claimed the glory of God of which it is said he will not give to another, and even in that same context he claimed the names and titles which God said he will not give to another. Unless Jesus was totally unfamiliar with these scriptures, he said these words for specific meaning, for the purpose of identification.