So, couple of my thoughts:
If there are any posters to be made, they need to make one of Uhura’s Orion room mate lounged out on the bed. Yaow. That made me want to enlist in Starfleet on the spot. I was actually very sad with the implication that she died on the Farragut (similarly, the only Jedi I particularly felt bad for in Star Wars Episode III was the guy on the bridge, and the really pretty Twi Lek Jedi girl)
The Romulans really need to get thrown a bone on decent starship design. Nemesis did have the cool new warbirds, even if they did annoyingly fly like fighter jets, but the Scimitar undid that with interest with its own design. Nero’s Starship Hentai didn’t help much.
I loved the bit when Kirk and Sulu get beamed in mid-fall (reminded me a bit of Portal, with how the transporters deal with inertia, or rather how they don’t…), but not so much Chekov’s “I CAN DO THIS!” and sprinting through the hallways. Scotty is supposed to be the technical genius, Chekov the badass Ukranian with the phaser. Having Chekov be a genius, and then Scotty a geniuser, just made Chekov seem reduntant (hell, he wasn’t even unique for having a different accent!)
We need a poster of the Orion starfleet cadet. Did I mention that? We need one of those. I was sitting in one of the farther-front rows because we got in about 5 minutes before the show, and I found myself panning back and forth taking it all in.
Also, the scene with George and Winona Kirk talking over the communicator as he was about to ram the Romulan ship was about 30 seconds too long. They should have had it end right after they named Kirk. Give George just enough time to say “James-” and then blow up the ship.
Any problems with people not serving in the right places at the right times in their careers is easily explained as being due to the destruction of the Kelvin and whoever died aboard. Maybe April was an officer who got killed before the evacuation? Also, Spock may have been a Commander in Starfleet due to his very high intellect and scientific skill. I got the impression that it was rare at the time for Vulcans to be serving in Starfleet, at least alongside the humans.
Speaking of destruction and mayhem, the Enterprise arriving at Vulcan struck me as very similar to the Enterprise arriving at Wolf 359 in TNG (Enterprise is delayed due to a problem with getting to warp, arrives at the scene of battle just in time to survey the lost ships. IIRC, Farragut may have been the name of one of the destroyed ships there too. Elements of an Enterprise officer narrowly avoiding death due to refusing an assignment on one of said ships earlier.)