I'm going to start listing all the faults with the new movie, chime in with new ones (It isn't a short list).
1. Romulans were not known by Kirk's time on sight (Reference, show "Balance of Terror")
2. A ship of the Kelvin's apparent class was smaller then Enterprise. Enterprise had a crew of 432 (Many shows). How the heck did the Kelvin have 800+ crew?
3. Families were not aboard Federation ships in Kirk's time, let alone his father's time. (Farpoint, Picard's statements)
4. Nero asked for Ambassador Sarek from the first captain, not Ambassador Spock. Oops......
5. Uhura was all business at the Academy - why in the ... would she throw herself at Spock after Vulcan imploded?
6. Spock and Kirk marooned on a planet within close viewing distance from Vulcan - but it was labeled Drago 4? Oops - Vulcan was in the Tau Ceti system, so even if that was right, it would have been Tau Ceti 4.
7. Spock was viewing up close the black holing of Vulcan - too close. Another planet that close to a black hole would have gone right in....
8. Romulas was wiped out by the nova - great, why wasn't the twin planet Remas wiped out with it?
9. If the Vulcan Academy could see the nova coming in time to build a special ship, and develop black hole building science, then why didn't the Romulans see the nova coming (since they had equivalent tech) and evacuate the planet?
10. If Nero had 25 years to wait for Spock (and 129 more beyond that) to wait for the nova, why didn't he just go prevent the wiping out of the Romulan people via the nova?
11. The promotion of Kirk to First Officer. Get off it, there is no way in .... that would have happened.
12. Sulu was always an excellent pilot (considered best in the fleet more then once) - get off that dampner thing.
13. Sulu using a sword on the drill - no, it is not a throw down to Star Wars. It is an actual reference to Sulu (George Takai) using a foil in the first season of the original series, long before there was a Star Wars (10 years before).
14. Why the ... was Ambassador Spock trying to fly the rescue craft to that star? Logistically, it makes no sense, since he was already on Romulas at the time, still working for re-unification. (Next Generation)
15. Manual targeting of the transporter? Since when?
16. Water piping thru engineering on the Enterprise? Huh, what was that for? Just to make fun of Scotty, of course....
17. Six ships wiped out at Vulcan in less then 5 minutes (that's how far behind the Enterprise was, according to the movie).
18. Enterprise traveling without shields up? Wrong, wrong, wrong. So many times it was shown that shields were up to prevent strikes by object during warp flight.
19. You get a distress call for an unkown reason and you go in weapons hot - always. It is much easier to drop the weapons then get them powered up in time. Sheesh....
20. The green woman Kirk was making out with? Tribute to the Orion slave girl of the first pilot, right? Oops - Orions were never part of the Federation - see ("Journey to Babel")
That's 20, good start for this topic.....
My guess is that the writers only looked at the previous movies and really didn't go look at the original series much. They took the mistakes of the movies and magnified them in this movie.
I write this as an "ORIGINAL TREKKIE". On Sept 8, 1966, I was watching the first showing, the great salt vampire ("Mantrap"). I participated in the letter writing campaign that brought the original series back for season three. I know the canon of the show backwards and forwards, and the above list is just off the top of my head what was wrong with the movie.
Gene Roddenberry (I went to see him speak once, live) would be spinning in his grave, because this was not about the future he wanted to portray.