I just caught up on the second episode. (They're screwing me up with these odd time slots.)
I enjoyed it, but... I have to say that despite all the obvious surface similarities, it's not really all that much like Star Trek.
Star Trek would not have had a scene where the young inexperienced officer gains the respect of the crew by... knuckling under and giving them the order they wanted to hear.
It was like Trek, however, in handwaving away the obvious consequences. In any version of the real world, Alara would have been court-martialed.
The reality TV gag at the end was a clunker, too.
But I'd say the show's first foray into an extended dramatic story went well, as long as you look at it as its own show and not a Trek wannabe.