How about ship that has earned the nickname "Last Chance"? Basically, it's a rehab ship for those whose careers are on the way out and this is literally their last chance to redeem themselves, or who are returning to duty after something traumatic, or even people who are simply put there because there's nowhere else for them to fit in?
You could have a guy who's been the lone occupant of a relay station for years and now has to adjust to real people instead of just voices over the channels all the time. An ex-captain who has been demoted having a hard time being under the authority of a lieutenant JG. The survivor of an accident with inner and outer scars, maybe even a missing body part. A woman who was assaulted by her last commanding officer and is trying to heal and trust again. A captain with survivor's guilt. A formerly insane person who still doubts themselves and faces the doubts of others. A member of a race who faces daily prejudice and persecution.
Any number of imperfect, broken individuals.
You could have a guy who's been the lone occupant of a relay station for years and now has to adjust to real people instead of just voices over the channels all the time. An ex-captain who has been demoted having a hard time being under the authority of a lieutenant JG. The survivor of an accident with inner and outer scars, maybe even a missing body part. A woman who was assaulted by her last commanding officer and is trying to heal and trust again. A captain with survivor's guilt. A formerly insane person who still doubts themselves and faces the doubts of others. A member of a race who faces daily prejudice and persecution.
Any number of imperfect, broken individuals.