I remember reading that it was Paul who was focusing on witnessing to the gentiles, and Peter was focused on the Jews... so Peter did not deal with the Romans at all, which is one of many examples that shoots down that argument that he was in Rome and appointed head of that church.
Actually, if I remember my church history correctly tradition has it that Peter was actually crucified in Rome by the emperor Nero.
This should not be construed as an actual fact though since it not a verifiable fact.
Even if it is true it still proves absolutely nothing with respect to the Catholic doctrine of papal apostolic succession with respect to Peter.
Clearly the scriptures prove how anti biblical the teachings of Catholicism are. So no doubts about that.
In response to what you said about Peter possibly being in Rome, I can only trust what the scriptures say.....
Galatians 2:7-8: "...But on the contrary, when they saw that the gospel for the uncircumcised had been committed to me, as the gospel for the circumcised was to Peter (for He who worked effectively in Peter for the apostleship to the circumcised also worked effectively in me toward the Gentiles)"
Paul's mission was to preach the gospel to the gentiles, while Peter was to preach the gospel to the Jews. (Gentiles/uncircumcised, Jews/circumcised) Peter was never the head of any church and definitely not of any gentile church.
Clearly this confirms Peter was not in Rome and shoots down the belief of apostolic succession from Peter, which is the very foundation that the Catholic church is built upon.
There's a scripture somewhere that speaks of a man that was trying to buy the gifts of the Holy Spirit from the apostles... and I recall reading that he in fact became the first "pope" of the Catholic church, that apparently it's his body that is buried under the Vatican (not Peter's).... but I'll need to find the scripture and my notes on that.
Peter actually died in Jerusalem. They even found his gravestone there.
1 Peter 5:1-4: "The elders who are among you I exhort, I who am a fellow elder and a witness of the sufferings of Christ, and also a partaker of the glory that will be revealed: Shepherd the flock of God which is among you, serving as overseers, not by compulsion but willingly, not for dishonest gain but eagerly; nor as being lords over those entrusted to you, but being examples to the flock; and when the Chief Shepherd (Jesus) appears, you will receive the crown of glory that does not fade away" - Jesus is the chief shepherd. Peter is on an equal level with other elders in the church, as overseers. He is a fellow elder, nothing more. They all have work to do for the church.