I have always viewed the Church's characterization and treatment of Paul and Peter as being ministers of the Gospel, not prophets in the traditional sense. If you are an Old Testament "purist" regarding what constitutes a prophet, then I'm not so sure that Paul and Peter fit that model, and I don't think the Catholic Church (the "one true church") even portrays them as "prophets", per se.
So by those defined terms, I would say that the New Testament, while containing many of the teachings of Jesus, is not a "complete set" of the writings of the times. Some interpretations of the meanings of events and relationships among people (e.g. role of Mary Magdalene, Gospel of Timothy, the Gnostics, Gospel of Judas, which represented the Sicari sect of the Jews who wanted to follow the example of the Maccabees and throw the Romans out of Jerusalem (which they accomplished, thirty some years later, BTW). Jesus was an Essene Jew, the serious, pious, ascetic sect. They were martyrs rather than the warriors, philosophically speaking, and by historical example with Matathias, the elder of the Maccabees and Judah's father. The elder had a group of 1000 people who were slaughtered because they refused to fight back against the Romans on the Sabbath.
The survivors decided that the rule against not doing any work on the Sabbath had to be revised to say, "unless it is to defend your own life". So, man changed God's rules, and for the better I might add, because it permitted their survival.