I haven't read this whole thread. In fact, I've only read the OP, and that was a result of reading another thread he commented on. It is disturbing that so many people want to make an understanding of the Trinity a priority in their faith and in their worship. It is not necessary, and the one or two bizarre posts herein where someone intimated that he/she "has the answers by God won't let me tell you" is just plain ... whatever.
Since by nature or essence the Father, Son, and Spirit are identically the same, what distinguishes the Father from the Son and each of Them from the Spirit cannot be Their one and undivided divine essence. At the level of the divine essence, each is quite literally indistinguishable as each possesses eternally and fully the identically same divine nature.
What, then, distinguishes the Father from the Son and each of Them from the Spirit? What distinguishes the Persons of the Trinity are (1) the particular roles that each has within the Trinity and in the work each carries out in the world, and, (2) the respective relationships that each has with the other divine Persons and within the creation that the triune God has made.
The Father, Son, and Holy Spirit are each fully God. They are each equally God. They each fully possess one undivided divine nature. Yet each Person of the Godhead is different in role and relationship with respect to the others. To distinguish the roles and relationships that exist in and among the triune Persons, we might say this: The Father is supreme in authority among the Persons of the Godhead, and he is responsible for devising the grand purposes and plans that take place through all of creation and redemption (see, for example, Eph 1:3, 9-11). The Son is under the Father’s authority and seeks always to do the Father’s will. Although the Son is fully God, he nonetheless takes his lead from the Father and seeks to glorify the Father in all that he does (see, for example, John 8:28-29, 42). The Spirit is under both the Father and the Son. As the Son sought to glorify the Father in all he did, the Spirit seeks to glorify the Son, to the ultimate praise of the Father (see, for example, John 16:14; 1 Cor 12:3; Phil 2:11).
Those are your answers, if you will see them. Still, it is impossible to fully comprehend an all-powerful, ever-living Triune God. We can only grasp at the edges and hope to come away with some modicum of understanding. We will not know the full and holy truth until we, too, are in glory, with Them.