One of my favorite episodes of ST ever. I knew as soon as it aired that DS9 would be the greatest series, that it would have layers of intrigue that far surpassed the other shows before or after.
As for this question you pose, I'm happy when a good episode doesn't answer all my questions. I think it adds much to not know what happened with the case.
I'm watching it now and did notice a smaller error.
When Quark and Rom are talking as they are breaking into the chemist shop, Rom cmments that Quark was in the Gamma quadrant overnight. Indeed, that's probably what Quark told him..rather than seeing the woman. But when Odo interrogates him after Quark is shot, Rom knows that he was hired by someone on Bajor.
No matter.
This episode, coupled with the Circle trilogy, made DS9 so much more epic and textured in its second year than almost anything I've ever seen since. I can't praise this episode enough.