Hey, it’s a start...
“The Catholic church began when Christ said to Peter, upon this rock I will build my church.”
Christ didn’t say church, He said gathering.
No evidence that it was the Catholic Church, as it exists today.
“By the year 254, the Catholic church had gone through 22 popes., “
Pope is not a Biblical office of the Christian Church. All offices are listed in the NT Epistles and pope isn’t there.
“indeed,Paul was converted to Christ and along with Peter, became the foundation for the Catholic church....”
The Apostles formed the foundation of the Christian Church.
“there is reference to the church as Catholic as early as the end of the first century..”
Catholic, meaning universal. Two and a half centuries later - about the time the Catholic Church (fully incorporating pagan syncretism) became established.
“but the official name is not important, it was the group, consisting of Christ and His Apostles which became known as Catholic and just when is irrelevant”
Unfortunately, as the church drifted into error, it came to power in Rome. It continued downhill from there. Fortunately, God has always reserved for Himself true believers. Praise to God.
The Catholic church came to power in Rome with Peter, her first Pope. You say it went downhill from there...that would mean that Jesus Christ went beck on His promise to be "With you until the end of time" God has indeed reserved for Himself true believers, they are known all over the world as Catholics. Praise to God.