Several elements join together in this piece that make it stand out for me.
Read the story now
First: the juxtaposition of the series on which the story is based (particularly its genre), versus the events of the story itself. Which is to say that I love the idea of the characters from a sweeping, epic space opera having a sitcom-worthy sequence of events like this. It's humanizing. You can look at this and think ... y'know what? This WOULD happen. It's a delightful sidestep away from expectations.
Second: through clever use of dialogue, inflection, and dialect, you manage to ensure that each character not only has their own unique voice — vitally important in a story told primarily through dialogue, such as this — but that their canon personalities shine through in spite of the first point. Would something like this make it into an episode of Firefly, or a scene in Serenity? It certainly wouldn't feel out of place for me.
Three: it's short and sweet. The point isn't belabored. You have an idea, that idea has been executed, and we're left to wonder what's happening next. Always leave them wanting more. I can picture the next handful of scenes in this, to be sure, but the story still stands fully complete as is. Tied to this, your style is smooth and free of technical errors, making it very easy to read.
All told, a lovely little slice-of-life moment for a cast of characters that probably don't get too many of them. Well done.