I watched the trailer this weekend and I found it to be on par with the first, though more revealing. Both are probably the best trailers since the first 2 Discovery trailers in 2017.
No, I'm not all that interested in personal lives of cadets, but that's just part of this type of show. Maybe they will surprise me.
The things I do like are those I've discussed here before that keep being happily reinforced by what we are shown: the post-burn Federation rebuild, the strengthing of alien relations, etc.
It seems that we're going to see some threads that tie into the Burn era, such as Nahla's pre-rebuild life and career.
Everyone wanted Klingons, looks like we're getting more than a few.
The look of the show I would describe thusly: The Burn era worked off the bones of an advanced post-Temporal War era: the sleek, white stereotype of the far future and it didn't change much in Discovery. When society is rebuilding, they go back to adding some character to the sleek lines, and more color. It's a very impressive look.