The Force is strong with this one
I was pleasantly surprised by this animation--I initially expected it to be full of lame jokes, but found myself laughing hard by the end, especially when Vader exited singing (rather pompously) to the Imperial march. The voices were a bit hard to understand, but the stormtroopers in the movies (and all the games in which they are featured) sound exactly like that.
It was no surprise that Darth Vader did not react well to the third stormtroopers honest opinion of his new nickname, for he certainly doesn't take criticism well (e.g. as in Episode IV). I was expecting him to Force-choke the offender, but the way he dispatched him was fine as well.
I can see a great series coming out of this, perhaps detailing the daily misadventures of those two stormtroopers stationed on the Death Star. Not too many SW-related stories, canon or otherwise, are from the Imperial perspective, so your animation is a great addition.