LOL! Your "proofs" do not, by themselves, prove that God is a Trinity of Persons.
"Baptize in the name of the Father, the Son and the Holy Spirit" does not automatically lead to the idea of three hypostasis and one ousia! This took the Church hundreds of years to theologically define. You don't realize how Catholic you already are, do you? There are numerous heretics who THOUGHT they understood the Bible differently and came up with different ideas on who God is. Yours is the Catholic/Orthodox concept from Scriptures AND Apostolic Tradition.
Regards
We believe in the Blessed Trinity because we believe in Jesus, Who revealed the Trinity Godhead.
Sorry this is a misnomer for the word Trinity is not in the Bible!
Col. 2
4 And this I say, lest any man should beguile you with enticing words.
5 For though I be absent in the flesh, yet am I with you in the spirit, joying and beholding your order, and the stedfastness of your faith in Christ.
6 As ye have therefore received Christ Jesus the Lord, so walk ye in him:
7 Rooted and built up in him, and stablished in the faith, as ye have been taught, abounding therein with thanksgiving.
8 Beware lest any man spoil you through philosophy and vain deceit, after the tradition of men, after the rudiments of the world, and not after Christ.
9 For in him dwelleth all the fulness of the Godhead bodily.
10 And ye are complete in him, which is the head of all principality and power: