You should become better acquainted with the Early Church Fathers. That is where you will find the history of the Church founded by Jesus Christ.
"Assemble on the Lord’s day, and break bread and offer the Eucharist; but first make confession of your faults, so that your sacrifice may be a pure one. Anyone who has a difference with his fellow is not to take part with you until he has been reconciled, so as to avoid any profanation of your sacrifice [Matt. 5:23–24]. For this is the offering of which the Lord has said, ‘Everywhere and always bring me a sacrifice that is undefiled, for I am a great king, says the Lord, and my name is the wonder of nations’ [Mal. 1:11, 14]"
(Didache 14 [A.D. 70]).
"Our sin will not be small if we eject from the episcopate those who blamelessly and holily have offered its sacrifices. Blessed are those presbyters who have already finished their course, and who have obtained a fruitful and perfect release"
Pope Clement I (Letter to the Corinthians 44:4–5 [A.D. 80]).
In the existing documents that have come down to us, St. Ignatius is the first to use the word catholic in reference to the Church. On his way to Rome, under military escort to the Coliseum where he would be devoured by lions for his faith, he wrote, “You must all follow the bishop as Jesus Christ follows the Father, and the presbytery as you would the Apostles. Wherever the bishop appears, let the people be there; just as wherever Jesus Christ is, there is the Catholic Church” (Epistle to the Smyrnaeans, 8).
Are their writings infallible?