Are Differences amongst Historical Sources a Problem?

There's contradictions in multiple historical texts, is this a problem?

In this short clip, Zac and I discuss the issue of historical sources being inconsistent. While this is more focused on the resurrection, as the question was raised during a discussion about the resurrection, I felt it was greatly apropos to broader historical questions as well. 

Tying in knowledge from the Tet Offensive, Punic Wars, and more, when approaching it from a historical lens, note this video is about the historical lens and not the theological lens, it is apparent that a few inconsistencies is not a big problem at all.