"Not so much if you were watching the series when it was made. The storage and retrieval of computer systems then were much more limited than they would be even ten years later, let alone twenty, and there's plenty of script evidence scattered through the series indicating that the writers understood very little about computing, anyway."
I was watching when it was made. None the less the fictional computers were able to function as previously stated.
"That Spock would have to do fairly meticulous research, taking some period of time, to locate an image of an historical figure as well-known as Khan (and other dialogue in the episode indicates that the Eugenics Wars and Khan were, in fact, widely-known), seemed plausible in those days. As did the Enterprise having limited access to the details of all Starfleet contacts over a period of a decade or more."
Khan was not widely know in the 23 century. My evidence? No one knew who he was until Spock told them. Per Spock records of that time period were fragmented. Hence the difficulty in confirming Khan's identity. To be honest the only thing limiting the E's files was plot. However based on the general reliability of the computer not knowing about the Gorn or where their territory might be seems HIGHLY unlikely.
Not for nothing but the newer Trek's attitude of "just because they never specifically said something did or didn't happen means we can do what ever we want, regardless of how much sense it makes" wears a little thin after a while.
BTW I did like SNW I just wish they'd stop with all the continuity errors or just say it's a whole new ball game and have at it.