Rejoice, Uplifting of men.
— Our humanity was raised to divinity in the Incarnation, which Mary's cooperation made possible.
Rejoice, Downfall of demons.
— The Incarnation made Christ's life and death possible, which was the downfall of demons—again, by Mary's cooperation.
Rejoice, you who trampled upon the delusion of error. Rejoice, you who censured the deceit of the idols.
— Idols are human attempts to create "incarnate gods". But Mary gave birth to the true Incarnate God.
Rejoice, Sea which drowned the symbolic Pharaoh.
— This is not the best translation of this verse. A better one would be "spiritual Pharoah", meaning the devil. The Theotokos is the "sea" he was drowned in.
Rejoice, Rock which refreshed those thirsting for life.
— If Christ is the Water of Life, then Mary is the rock it sprang from.
Rejoice, Pillar of fire, guiding those in darkness.
— If Christ is the Light, then Mary is the pillar the light comes from.
Rejoice, Protection of the world, more spacious than a cloud.
— These refer to the fact that Mary contained the Infinite God within her body, bore Him, and raised Him.
Rejoice, Nourishment, successor to manna.
— Manna is a prefigurement of the Eucharist, Christ's Body. Christ's divinity is from the Father, but His flesh is from his mother.
Rejoice, Minister of holy joy.
— "Minister" in the archaic sense: one who conveys something. Mary brought holy joy into the world: Jesus.
Rejoice, Land of promise. Rejoice, you from whom flows milk and honey.
— If Christ is the "milk and honey", Mary is the "promised land" which flows with milk and honey.
Should not some of these titles be given to Christ alone?
God only rarely acts in purely supernatural, Force-like ways. He usually works through our physical world. The praise of God in Mary is an affirmation of the Incarnation and reinforces the truth that God really did become a human person with a physical body.
If we only said all this about Christ, we would risk turning it all into a mental exercise and reduce the importance of the Incarnation. We focus on the logical implications of the Incarnation to ensure we keep it real.