I've posted about issues of character in the other threads, but I figured it should have a standalone discussion. Apologies if this is repetitive.
My understanding of "modern TV" is that it is essentially that the story should be driven by the characterization, rather than the other way around. So far, however, I'm seeing the inverse from discovery - that it's essentially all plot, with no character development at all.
The writers have made a solid attempt to develop Michael Burnham, who has been featured strongly in all four episodes to date. The show also has an unusual structure (for both Trek and a lot of modern TV) in that it's built around her as the main character, rather than an ensemble cast. The problem with Burnham's character is that, at least to my mind, it's inconsistent. She veers from hyper-rational to emotional, from making great decisions to making poor ones, from being the "perfect starfleet officer" to being a renegade. Some could call this complexity, but to my mind Burnham's decisions are mostly being pushed by the needs of the plot, rather than a consistent idea of who her character is and what she wants.
The crew of the Discovery are worse. Each "also starring" has basically one and only one personality trait. Lorca wants victory at any cost. Stamets is angry that his life of pure research has been disturbed. Saru is cautious and suspicious. Tilly is anxious and inexperienced. Every single conversation reinforces these archetypes rather than allowing them to deepen. And every conversation they are in is either to further along the main plot arc or to further Burnham's development as a character, rather than their own.
The Klingons haven't been given much screen time yet, and I'm not even sure what their singular traits would be. Voq is a true believer (and kinda a loser), Kol is an opportunist, and L'Rell is...mysterious I guess? They haven't had much screen time, so I'm not going to complain heavily in this case.
What the show is sorely lacking are "character moments." These tend to be the quiet bits of dialogue which allow for two characters to engage in casual, informal conversation without necessarily furthering the main plot. DS9 was great for these moments, which often resulted in saving an episode which would otherwise be a total stinker with some great backstory. But it seems to me, at least so far, the series is so densely plotted that there isn't the breathing room to allow for this sort of natural character development to happen. I hope it slows down a bit in the future.