Liked it. Might have liked it more if they had more if there was a tad more plot and more dialog interaction with Cumberbatch, but I am having a hard time remembering a movie with better pacing than this one. Aliens maybe? Literally no wasted time in this movie, just kept the foot on the gas the entire time but never to the point of overwhelming. Of course there are plotholes that neckbeards and nostalgic basement dwellers are going to bitch about on the Intertube Rage Machine, but that was the case with the first one. This one was at LEAST as entertaining and wasn't wasting time with an origin story. The villain also really separated this one from the first, in my mind. Haters are going to hate and that's why they are haters. I loved it and even as someone who loved the older series, I can appreciate this as a great take on it. The originals had plot holes you could drive trucks through, so complaining about them here is just looking for something to bitch about, as far as I am concerned.
If I had one real critique, beyond needing a touch more dialog with the main villain, it would be that I hope that in the next movie the primary adversary is not quite as overwhelmingly superior, so you actually get to see the Enterprise actually duke it out with something on equal footing and kick some ass, rather than just constantly getting its shit slapped around. Kirk was supposed to be a space combat tactical genius and I would like to see that in one of these movies.
FYI, Chekov actually had his most active role in ST2. He was a first officer on another ship and fairly involved in the plot of that movie. He generally got descent stuff to do in even numbered Trek movies and jack shit in the odd numbered ones (Koenig said as much himself), which coincidentally are also the worse of the movies. In this movie, there were a lot of characters and not a lot of time to seriously visit most of them. As it was, Scotty got good screen time, Sulu got to wear the big boy pants, and Chekov got to do his boy genius thing. The only underutilized character, in my view, was McCoy, but given the story of the movie I am not sure what else they could have given him to work with. Karl Urban owns that fucking role, though. I hope they do more with him and less with Saldana in the next movie, though the conversation in the trade ship was great.