The Gospel of Luke was not written until roughly 80-100 AD, so it’s almost a hundred years after Christ. No one is completely sure about the authorship....so I might be skeptical of taking this at full value.
Your timeline is off. Christ “died” at roughly 40AD. So 40-60 years after.
Sure they are. Authored by Luke, the physician. As was Acts of the Apostles.
Nonsense. The authorship of the book of Luke by the Greek physician Luke is the most documented authorship of any of the Gospels. And based purely on the internal evidence the book was certainly written between approx 58 and 64 AD. It was written before the book of Act and the book of Acts was written before Paul was martyred in 68 AD.
Luke also wrote the Acts of the Apostles. As a physician he, in my opinion, is very accurate.
For one thing, Luke was an historian writing from eyewitness accounts (Luke 1:1-4). One firm historic "marker" found in Acts 24:27 (Festus's appointment as Roman procurator of Judea, which was in AD 59-62) has implications because Acts was written AFTER Luke's Gospel. Thus Luke was written at least before A.D. 63 and possibly before 55-59 since Acts is the second in the series of writings by Luke. This means that the Gospel of Luke was written within 30 years of Jesus' death.
Another point: although Acts is about the events in the first decades after Jesus' ascension into heaven, it does not allude at all to the destruction of the Temple in 70 AD, which was the biggest and most catastrophic thing that had even happened in Jewish history up to that point
If we thought Luke/Acts were written later, it would be unthinkable that these texts, with all their vibrant immediacy, would totally fail to mention that --- it would be like a central European Jew writing recent history in 1955 and failing to mention the Holocaust.