Inspiration: Especially good use of the Jeopardy! concept in the second encounter. Definitely my favorite part (Lady Query reminds me of Anne Robinson: "You are the weakest link. Goodbye!").
Usability: The speed-run countdown timer is an awesome idea. The players in my gaming group are slow as molasses, so I am sure they would go down with this 60-minute ship every time. But I'm very interested in testing them (and myself) on it.
Vibes: Great concept overall. The first and third encounters read especially "8-bit video game" to me. Nice work!