There is one Spirit (Ephesians 4:4)
Indeed. One Holy Ghost/Spirit, let's read the context and not take a verse out of its context:
Joh_7:39 (But this spake he of the Spirit, which they that believe on him should receive: for the Holy Ghost was not yet given; because that Jesus was not yet glorified.)
The Holy Ghost is distinct from
the Father and
the Son:
1Co 12:3 Wherefore I give you to understand, that no man speaking by the Spirit of God calleth Jesus accursed: and that no man can say that Jesus is the Lord, but by the Holy Ghost.
1Co 12:4 Now there are diversities of gifts, but the same Spirit.
1Co 12:5 And there are differences of administrations, but the same Lord.
1Co 12:6 And there are diversities of operations, but it is the same God which worketh all in all.
1Co 12:7 But the manifestation of the Spirit is given to every man to profit withal.
1Co 12:8 For to one is given by the Spirit the word of wisdom; to another the word of knowledge by the same Spirit;
1Co 12:9 To another faith by the same Spirit; to another the gifts of healing by the same Spirit;
1Co 12:10 To another the working of miracles; to another prophecy; to another discerning of spirits; to another divers kinds of tongues; to another the interpretation of tongues:
1Co 12:11 But all these worketh that one and the selfsame Spirit, dividing to every man severally as he will.
1Co 12:12 For as the body is one, and hath many members, and all the members of that one body, being many, are one body: so also is Christ.
1Co 12:13 For by one Spirit are we all baptized into one body, whether we be Jews or Gentiles, whether we be bond or free; and have been all made to drink into one Spirit.
The Holy Spirit is distinct from "the body".
Eph 2:12 That at that time ye were without Christ, being aliens from the commonwealth of Israel, and strangers from the covenants of promise, having no hope, and without God in the world:
Eph 2:13 But now in Christ Jesus ye who sometimes were far off are made nigh by the blood of Christ.
Eph 2:18 For through him we both have access by one Spirit unto the Father.
That's Three Persons again.
and the Father is that Spirit (John 4:23-24).
No. You took two texts out of their context, and jumbled them together.
Notice, just as Jesus is not "the Father", but He is the "gift" of the Father:
Joh 4:10 Jesus answered and said unto her, If thou knewest the gift of God, and who it is that saith to thee, Give me to drink; thou wouldest have asked of him, and he would have given thee living water.
Joh 4:23 But the hour cometh, and now is, when the true worshippers shall worship the Father in spirit and in truth: for the Father seeketh such to worship him.
Joh 4:24 God is a Spirit: and they that worship him must worship him in spirit and in truth.
The text does not say that "the Father is "the" "Spirit". The text says that the Father is "a" Spirit, which He is:
Heb_12:9 Furthermore we have had fathers of our flesh which corrected us, and we gave them reverence: shall we not much rather be in subjection unto the Father of spirits, and live?
The Holy Ghost is also that Spirit (John 7:39).
No. The Holy Ghost is "The Spirit "of" (possession) "the LORD"".
Joh 7:39 (But this spake he of the Spirit, which they that believe on him should receive: for the Holy Ghost was not yet given; because that Jesus was not yet glorified.)
That's two Persons, not one. Jesus was already given to them by the Father, see John 3:16. The Holy Ghost/Spirit was not yet given, until Pentecost (Psalms 133:1-3; Acts 2:1-4,33; Revelation 5:6; &c).
Again:
Isa_48:16 Come ye near unto me, hear ye this; I have not spoken in secret from the beginning; from the time that it was, there am I: and now the Lord GOD, and his Spirit, hath sent me.
1Co_6:11 And such were some of you: but ye are washed, but ye are sanctified, but ye are justified in the name of the Lord Jesus, and by the Spirit of our God.
That's Three Persons.
Just as Gabriel is "a" spirit that belongs to God, a 'spirit of the Lord', the Holy Ghost, is the Third Person, whom the Father and the Son send, even as the Father and the Spirit sent the Son.
Joh_14:26 But the Comforter, which is the Holy Ghost, whom the Father will send in my name, he shall teach you all things, and bring all things to your remembrance, whatsoever I have said unto you.
Joh_15:26 But when the Comforter is come, whom I will send unto you from the Father, even the Spirit of truth, which proceedeth from the Father, he shall testify of me:
Joh_16:7 Nevertheless I tell you the truth; It is expedient for you that I go away: for if I go not away, the Comforter will not come unto you; but if I depart, I will send him unto you.