1. Intro: Why is this question important?
It’s incredibly important. If the NT isn’t reliable, then we have no way of really knowing who Jesus was.
2. The NT:
a. As history.
Written self-consciously as history. Gospels: people’s names, place names, what time of day, year. Names of Roman officials.
b. Its relation to other historical information we know
Fits into what we know of Roman history. Same broad scope of history being played out.
c. Its literary style
Consistent with literary styles used in the first century.
d. The documents: no reason for skepticism
All of our access to history is through documents or monuments. Study of Julius Caesar is done through documents and monuments, and we are fairly confident about it. But with the NT, a great deal of skepticism. It’s not necessary. Confidence in material in NT because it's consistent with first century history. Written very early, within living memory.
3. Conclusion
We can have confidence that what we read is true as history. It presents the Jesus of history, in history. We can have confidence in his message, and his death on the cross for our sake.
Additional resources:
"
The Evidence for Jesus" by William Lane Craig -- Craig provides an overview of some of the evidence in favor of the reliability of the New Testament.