01 The popes are infallible and impeccable. The Holy Spirit guide the Catholic Church through the pope as its visible head, preserving her from error.
02 The St Peter was the first pope of the Catholic Church and it is history. Jesus gave St Peter the Keys to the Kingdom of Heaven and whatsoever he bond and loosed on earth was bond and loosed in Heaven. St Peter pasted these Keys to his successor and so on to the present day pope.
03 Gods Catholic Church whom St Paul was endorsed by accept what St Paul preached/taught to this day. The Jerusalem council demonstrated how disagreements within Jesus Catholic Church was to be resolved; through council and not by some individual claiming God gave him a message for all. Jesus and the BV Mary do give messages to believers to this day and the Catholic Church may approve them as personal revelations that the believers may believe but they are not bond under penalty of sin to believe in them.
04 We are only under the Law of Love. One may follow Jewish dietary laws as an act of mortification. Animal sacrifices have been done away with by Jesus death and resurrection.
The Jewish followers of Jesus can be baptized and come to the Catholic Church.
01 The popes are infallible BUT NOT impeccable. The Holy Spirit guide the Catholic Church through the pope as its visible head, preserving her from error.