The Gospel of Jesus Christ never included the Melchizedek Priesthood
And even if there was such a thing; no human would qualify for the Melchizedek priesthood.
Genesis 14:18-20 A King-Priest Melchizedek appears and gives Abram bread and wine; then blesses Abram. A King-Priest who suddenly appears with no genealogy; no parents or children.
Psalm 110:4 King David speaks of a priest that will come in the same way that Melchizedek was a priest. A King-Priest bringing bread and wine. A priest directly from God and not from Aaron; the tribe of Levi.
Jeremiah 31:31-34 God will make a new covenant. It will be different from the old one: It will last forever, it will be written on the hearts of men not just stone tablets, and all people will know him.
Hebrews 7:1-3 Melchizedek appears without father, mother, or children, and was a priest always. Compared to the divine Christ, the Son of Man; who was born without father, mother, or children, and was a priest always. There is no actual Melchizedek priesthood. Melchizedek is a High Priest and King who is the example of the Messiah. What Melchizedek is in portrayal, Christ is in fact: the unique priest of all mankind.
Hebrews 7:4-10 Abraham paid tithes to Melchizedek. The priests of Aaron were also sons of Abraham, so Melchizedek was a superior priesthood than the Levitical priesthood.
Hebrews 7:11-14 If the Levitical priesthood was good enough, there would be no need for another priest as prophesied by King David. A new priest means a change in the law.
Hebrews 7:15-19 Christ is the new High Priest according to the order of Melchizedek. He abolishes the Levitical priesthood and the law. They were abolished because the law did not bring man into close communication with God.
Hebrews 7:20-25 Through Christ there is a better covenant because he is the eternal high priest like Melchizedek.
Hebrews 7:26-28 There is no need to offer sacrifices daily like the Levitical priesthood. Christ offered himself one time for all people sins forever.
John 6:31-69 Jesus tells his disciples, he is the bread of life. The Jews doubt him and he repeats his claim. They doubt him again and he tells them that he is the bread of life and you must eat his flesh and drink his blood. Many of his disciples leave him. The Jews gave Jesus three chances to tell them he was talking in a figurative manor but did not.
Matthew 26:26-28; Mark 14:22-24; Luke 22:19-20; 1 Corinth 11:23-25 Jesus tells his Apostles to eat his body and drink his blood in remembrance and for the forgiveness of sin. The blood of the new and everlasting covenant that he will shed for us.
Hebrews 8:1-5 We have Jesus our high priest sitting in heaven. If he was on earth he would not be a priest of the order of Melchizedek; just Aaron. In heaven, he is still offering gifts and sacrifices according to the order of Melchizedek. The gifts of Levi are just a shadow of the heavenly gifts offered by Christ.
Hebrews 9:11-15 Christ is in heaven by the perfect sacrifice of his blood. And he is the mediator of the new covenant.
John 1:26 Jesus Christ is the Lamb of God. His sacrifice will take away the sin of the world.
Revelations 7:17 Christ is the High Priest according to the order of Melchizedek. He had no beginning and no end. Just as Melchizedek brought bread and wine, Christ is feeding his flock through his flesh and blood in the new covenant.
This food we call Eucharist.