OK, I watched episode 1. What a mess.
As much as other characters went on about Burnham being very Vulcan-like, I couldn't see it. Unless she's supposed to act like a hot-headed, impulsive, borderline irrational Vulcan with PTSD. I don't like Burnham at all. She registers at 15 on the Mary-Sue scale of 1 to 10. The whole mutiny thing was stupid, I don't care how right she was in the end. I mean, of course she has to be right and everyone else wrong since she's a Mary-Sue for the ages. That's how it works.
Too many plot holes to count. Shredded lace has more cohesion than this story. It's more sketchy contrivances held together by dull exposition than anything else. At least Sarek is still a sanctimonious jerk. There's your Prime continuity maintained. I still don't get why he ended up as Burnham's guardian. I mean, there are more than six Vulcans, aren't there? And the "Vulcan Hello" nonsense. Please. I know the Vulcans could be stingy with crucial information, but it's more helpful to go ahead and share that Klingons prefer a punch in the face rather than an invitation to tea. And way more helpful to let the higher-ups at Starfleet know about it rather than slip it to Mary-Sue at the last moment. Maybe Sarek really does hate Starfleet more than he's letting on.
The Klingons. Hard to be afraid of a warrior race when it looks like they'd break or fall over if they moved too fast. I'm fine with making them look alien and ferocious. But I couldn't tell you if any of them were able to change their facial expression even a little. Between the actors being straightjacketed, sealed in foam rubber (for freshness?), fitted with dental appliances that made even Klingon hard to understand, and having them speak in nothing but stilted, lethargic, marble-mouthed Klingon, all their scenes ground the narrative pace to a halt. It was excruciating to watch and read. T'Kuvma might as well have started his part with "Call me Ishmael" for as long as he rattled on. I can honestly say I miss the campy Klingons of TNG and DS9 now. They aren't nearly as boring.
I could complain about the array of tech that leapfrogs TOS, TMP, TNG, DS9, etc, but what was more irksome was the tech they should have, like scanners and subspace communication, that only works under optimum conditions and then only just barely.
So much for my earlier misgivings about content. I have no interest in watching episode 2.
♫♩ This reboot's made for walking, and that's just what I'll do... ♬♪