Well I have watched the 2 episodes and I am still trying to fully understand why they set it 10 years before ToS. They could easily have set it after Voyager and it would have played out better, especially with the tech. All they had to do was leave out the Sarek parts.
It was good that it had a lot of the ToS sounds on the bridge and the door sounds torpedo sounds, but some of the tech just shouldn't exist. Main point being the Star Wars style holograms for communications?!? What were they thinking. Trek has always used video calling and for this to exist in the prime timeline just doesn't fit.Even when ships drop out of warp its clearly from the JJ-verse. There was even lens flare and the phasers on ship and handheld are like bullets rather than the beams they should be. Hopefully things they can resolve over the course of the series.
That being said I did enjoy the main story, even if Starfleet seemed fine to start a war, and as the ensign stated 'we are explorers'
The new trailer for the rest of the season almost makes the first 2 episodes a prequel to the actual show with episode 3 feeling like the actual pilot as it introduces the ship and all the other main characters.