That is an assumption, not a fact. Magisterium? Mastery? No one should call any other Christian "master".
"Magesterium" doesn't mean "mastery". If you plan on becoming part of the Orthodox Church, you better get with the program, because they also have a Magesterium - Bishops, the successors of the Apostles, with the power to bind and loosen. Jesus told these Apostles that they would, indeed, lead His sheep for the purpose of building up the Body. Given that the Church intends (by Christ's mandate) to exist until the end of time - and that the Church is the pillar and foundation of the truth, it follows that these leaders must be guided by God's Spirit to keep the Church within Truth.
Since it is quite obvious that Rome, Constantinople, Jerusalem, Antioch and Alexandria could not possibly present the faith entirely in Truth if it wasn't directed from above. And THIS INCLUDES COUNCILS.
We should "love the brethren", the Scripture says, but not seek lordship over other believers, or seek to submit to the authoritarianism of others.
Yes, but Christ did give His Church leaders, apostles, preachers, teachers, and administrators for the sake of building up the Body to perfection (paraphrase of Eph 4:12-13). Jesus told the Apostles the paradigm for their leadership, it wouldn't be like the pagans. It would be service to the servants of God. That is the goal of such leadership. Does it always work out that way? No, Bishops sin, as well. But let's not throw out the baby with the bathwater and ignore the words and wishes of our Savior just because people prefer to rule themselves. Let's not get American individualism mixed up with First Century Christianity.
We should avoid party spirit, as the NT. I am of Cephas, I am of Apollos, I am of Paul, I am of Christ. That speaks against the idea of St. Peter as "prince of the apostles". The only Prince is our Lord Jesus Christ.
Peter is the head servant while the master is away. There are several parables to this effect, to include the thrice stated "feed my sheep" to Peter. Alone. Again, though, this is not for the purpose of "lording it over others", but for spiritually feeding the flock of Jesus, which was a responsibility given to him. Why must people make his job harder?
Regards