I thought it was OK. Most shows get better as they go on and I imagine this one will as well.
Some general observations:
Uhuru: Celia Rose Gooding playing Uhuru pretty much nailed it. I thought I was going to have a hard time seeing someone that isn't Nichelle Nichols as the same character, but Gooding really pulled it off and came off quite likable and charming.
Spock: Can't say the same for Spock. I can't quite put my finger on it, but something isn't working with the actor’s performance or presence. He somehow doesn’t seem “Vulcan.”
Singh: Much like Tarantino’s love of feet, I guess Kurtzmans “Mean-Girl” fetish is just something that’s going to be continuously forced on the audience. I’m not trying to kink-shame the guy, but surely, he must see how this is getting in the way of good storytelling.
Robert April: I’ve seen comments on YouTube and other places complaining about the race change. I’m not sure what the big deal is. April was a cartoon character who appeared in one episode, and regardless, his character was not defined by his race. Also, the actor did a fine job and had good chemistry with Pike, I hope we see more of him.
I thought Uhuru establishing rapport with the sports fan over “tagball” so Nurse Chapel could apprehend him was brilliant and a true classic trek moment.
Overall, I felt like the main premise was inspired by TOS’s “A Piece of the Action”, where a pre-warp Earth-type society at war was contaminated by Federation Tech. “Action” seemed to handle the sociological aspects better, and SNW was far less subtle, but still it was still a pretty good update on a similar premise.
My biggest problem with the episode was how the Gorn have now been retconned as savages. This completely negates the anti-prejudice message of TOS’s Arena, and why I’m only giving this episode a 4 out of 10. This was a really, really big screw-up.