I was surprised that no one did historical research using the ship's computers. I think this was particularly important for this film where there was a character about whom we had two conflicting accounts of his history and his motivations.
It was probably for the best that they didn't. Khan's original background has already been contradicted by real world events, so by not exploring his background the filmmakers have sidestepped some thorny continuity issues. Considering the new fans who will see this movie, I really don't see how they could have explained this 1990's origin without completely derailing the pacing by having to explain how it happened without anyone noticing.
Also, the lack of research made the character somewhat more ambiguous. Something that wasn't really taken advantage of unfortunately.