As Enterprise demonstrated, though, the Star Trek universe was too bound by (occasionally contradictory) canon - really, Abrams' movie was the only way out, by rewriting the history so they didn't have to worry so much about making sure it was all identical. Now, both Starfleet and the Klingon Empire are weaker than they were, but the Romulans are going to have their own hassles trying to figure out why a ship broadcasting Romulan ID frequencies attacked the other major powers with weapons far beyond anything anyone else had ever seen, so the storytelling possibilities have widened enormously.
The relationship between Spock and Uhura is even kind of reflected in canon - check out how she looked at him in the first season, especially in one episode where Spock was playing his lyre on the Rec Deck and Uhura was singing. (The bit about her first name, and her reluctance to reveal it, was a kind of canon inside joke - during the run of the series, Lt. Uhura never got a first name; the name "Nyota" was given her by one of the novelists years later, and it stuck.)
My Suspenders of Disbelief(tm) got a real workout, however, as the movie concluded. First off, the event horizon of a black hole is the point at which the escape velocity exceeds the speed of light - but the Enterprise was capable of velocities so much in excess of poor sluggard Light as to be ridiculous. Half a second at Warp 3, and they'd be hundreds of thousands of kilometers away, safely away from the hole. (Now, there may be some reason why warp drive can't be engaged that close to a singularity - and if so, it could have been revealed to us in two lines. "Scotty, take us to warp!" "Och, laddie, I do that this close to a singularity, an' we'll be smeared across half the quadrant!") There were at least half a dozen other problems with that scene - tidal stresses would have shredded the ship long before gravitational shear had a chance, for instance - but that one in particular stands out for me.
Secondly, as pointed out, sure, Cadet Kirk saved the day, and showed that he can command under stressful circumstances - the appropriate reward for which might well be medals, forgiveness of his little stunt in the Kobayashi Maru test, and even early graduation from the Academy and appointment as an Ensign, or possibly even a Lieutenant, aboard a ship somewhere. But jumping straight from Cadet to Captain, and given command of one of the newest, most powerful ships in Starfleet's inventory? Really?? I mean, up until Pike appointed Cadet Kirk as Spock's first officer as Pike left the ship, even Chekhov outranked him - Pavel had at least graduated the Academy, while Kirk was an upperclassman. So the lowest-ranking non-enlisted person on the ship was suddenly its Captain - permanently. I know the basic reason for this was so that they could put Kirk in the captain's chair by the end of the movie to set up the next one, but were they really so short on time that they couldn't even give us a montage of the boy working his way rapidly through the officer ranks?
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Sodium is a metal that reacts explosively when exposed to water. Chlorine is a gas that'll kill you dead in moments. Together they make my fries taste good.