This is fantastic! My roommate and I loved the animation, we had a laugh and definitely were left impressed :)
You did an insanely good job bringing the scene to life in the same style of the show. The movements and expressions were definitely spot on - it seems you spent a lot of time making sure of it (I saw your rigs and stuff! Very impressive work!!). I love the little references you hid in the wonderfully drawn backgrounds, which gave a (purposely long-drawn) conversation some extra entertainment value.
I think the only thing I'd really recommend improving is the lip sync. You can shift the weight of when the mouth changes to give certain moments better impact, since speech has a sort of swing to it. It felt slightly off in a lot of parts throughout the animation.
BUT hey the quality you managed to reach as a side project is too impressive for me to even want to nitpick it. :D
(Someone said you got a job at Adult Swim below?? That's insane! And very well deserved. Your attention to detail alone for this fan animation allows you to stand out)