This mission will not complete for me. I've run it 4 times and can't complete it, I beat the Klingon ship at the end no problem but it just keeps sending me back to the Safety Inspection part and I have to go through and do it all again and again. What am I missing?
It's one of those where you scan something, then move on, then scan something else, then eventually get back to where you started geographically. In other words, just because you've "been to that corner" doesn't mean that your next scanning point isn't back over there.
If it's still a problem, try teaming up with a player who has passed that and have them assist... that usually clears up these sorts of problems