Mentioning things only makes it superficially historical, that's not the same as it holding historical facts of significance that aren't mundane in nature. Jerusalem existing and the Bible claiming it is pretty uncontroversial, but also not that important to the claims it makes regarding qualities associated with Jerusalem in prophecy, etc
Actually I'm pretty sure there are examples of Biblical "history" being inaccurate, even if they're not that commonly known, like Luke account about the census of Quirinius being in the reign of the Herod the Great, even though historically there's a contradiction there in that the census was 6CE, the reign of Herod ended around 4CE, so Luke was mistaken, thus an history-related claim in the Bible is, in fact untrue by historical analysis of the events
And a quick look into some other contradictions of a slightly historical nature make it even more interesting to consider the reliability, or lack thereof, since Mark suggests the women who saw Jesus risen didn't report to the disciples, but Matthew and Luke say they did. Assuming this is referencing an event that happened, even if it's not necessarily historically agreed upon (location of Jesus' tomb is of some debate)
Oh, boy, now you're leaping into fallacy territory, because that's a compositional problem there: the accuracy of the Bible in regards to history does not mean the other aspects must be correct and we can demonstrate that claims about reality that it makes which are scientifically verifiable, are untrue, though that goes without saying with a culture that really didn't practice science or have much exposure or understanding of it. The breeding of sheep with striped sticks does not result in striped sheep, that's a matter of genetic, the bible clearly wrong in thinking it works otherwise.
Also, Jesus' words being true in some respect, perhaps, like treating others as you would want to be treated, does not mean they are unique in their formulation, we have evidence suggesting that sentiment long predates the oldest manuscripts of the Gospels we have, Confucian texts, Buddhist texts, Hindu texts.