I mostly chalk that kind of thing up to writers not having any idea what the Prime Directive actually is.

Just double checked. Looks like beta-canon from the novels. Interestingly, according to Memory Alpha, the first episode or two with Bajorans in TNG had all the male Bajorans wear the earring on the right and all the female Bajorans wear it on the left, but right ears for both sexes became standard pretty early on. The only other named character that wears it on the left is Lt Mura in PIC.

Are tribbles the new popplers?

Judging by its captain, DS9's all Vulcan ship was probably crewed that way out of sheer racism.

Alternatively, do what they did with Bashir and suddenly reveal that he replaced Bradward at some indeterminate point during season 4.

I'm pretty sure he was also the only command division officer on the bridge after they gave him command. At least in theory, due to differences in training, a lieutenant jg from the command track may be better suited for acting captaincy than a full lieutenant from science, especially with a decidedly non-sciency mission like flinging a warship at a wall. You need that dash of crazy that Starfleet's command officers tend to have.

The Kelvin picture should have been from Star Trek '09.

The Alpha-Beta blob should be shifted down a bit, and possibly shrunk. Earth is significantly closer to the galactic rim, on that arm that currently goes across the southern edge of the Alpha-Beta blob.

Even JMS has actually admitted years ago that DS9 and B5 being in development at the same time was a coincidence. DS9 was already in early pre-production when he pitched B5 to Paramount. They turned him down, but also asked if he would be willing to retool it as a Trek show. Most likely, they hoped to recruit him as a DS9 writer and didn't expect him to turn that down. Granted, it seemed super suspicious, but now that Paramount's documentation has been released it's pretty clear nothing nefarious happened. The DS9 showrunners weren't even informed the B5 pitch had happened and the network didn't interfere with DS9 much if at all, so the only cross contamination came from the handful of writers they shared, like D. C. Fontana.

This is SNW's Duet. If it marks a similar increase in quality, then SNW is going to be amazing.

Spock had a very dry sense of humor and enjoyed trading barbs with McCoy. McCoy also genuinely respected Spock despite his comments. The same is not true for the Data-Pulaski relationship. Also doesn't mean that McCoy's behavior was actually acceptable.

Janeway: "If anyone on this ship is going to be a terrorist, it's me! Now move aside and let me push the button!"

Archer: "Can you all please stop committing acts of terror for five minutes?!"

Pike: "Nobody will want to become a terrorist after they've tried my cooking."