This is a discussion over whether or not Jesus existed. It is not a discussion about whether or not he was the Messiah and the Son of God.
Despite a scientific study of the gospels lasting nearly two centuries, there is no agreement about who wrote the gospels, where they were written, and when they were written.
Nevertheless, a consensus has developed. I will explain what in the consensus I consider plausible. Mark was the first gospel that was written. The authors of Luke and Matthew used Mark as a source. They also used a more primitive gospel that no longer exists, but which has been reconstructed that is called Q. The same author wrote Luke and Acts. That author was Luke, whom St. Paul described in Colossians 4:14 as “the beloved physician.”
An event that needs to be considered when evaluating the accuracy of the gospels is the Jewish Uprising that happened from 66 to 73 AD. That revolt was completely crushed by the Roman Army. The Holy Lands were devastated. Written records about the life and ministry of Jesus were destroyed. Eye witnesses to that life and ministry were killed or dispersed. Anything written before the revolt is bound to be more accurate than anything written afterwards.
The epistles of St. Paul, which make up about half of the New Testament, were written before the uprising. Unfortunately, they tell very little about the life of Jesus.
I cannot read the Kione Greek in which the New Testament was written. Nevertheless, I have read the Bible from cover to cover eight times in seven translations. I have read many books about the Bible. Some were written from a Fundamentalist standpoint. Some were written using the higher criticism.
My impression from reading Acts is that it was written when St. Paul was still alive. There is no obvious indication that he is going to be martyred. It ends with St. Paul experiencing a fairly comfortable house arrest in Rome. The reader has been told several times that he has not violated Roman or Jewish laws. Members of the Jewish community visit him. He convinces some that Jesus is the Messiah. Others remain unconvinced. Nevertheless, the conversations seem to be civil.
According to Eusebius, who lived from AD 263 – 339, St. Paul and St. Peter were martyred in Rome before the Jewish Uprising began. Archaeological excavations beneath St. Peter’s Basilica indicate that at one time St. Paul and St. Peter were buried there.
Where I disagree with the consensus is in dating Mark, Luke, and Acts. According to the consensus Mark was written about 70 AD. Luke and Acts were written ten or more years later. I do not see why Luke would have waited so long to write an account of events that would have been fresher in his memory much earlier.
If Acts was written before 66 AD, Luke was written earlier, and Mark was written earlier still. They would have been written when eye witnesses to the ministry of Jesus were available. These would have been consulted.