Let me put in here something more about the Trinity. This is not from my own thinking but from the Nicene Creed, a fifteen-hundred year old interpretation of Scripture accepted by most churches. The Trinity functions as three distinct persons though all share the full nature of God. Here is what the creed has to say about the character and roles of the three persons.
“We believe in one God, the Father, the Almighty, maker of heaven and earth of all that is, seen and unseen.
We believe in one Lord, Jesus Christ, the only Son of God, eternally begotten of the Father, God from God, Light from Light, true God from true God, begotten, not made, of one Being with the Father. Through him all things were made.
We believe in the Holy Spirit, the Lord, the giver of life, who proceeds from the Father and the Son. With the Father and the Son he is worshiped and glorified. He has spoken through the Prophets.”