Hmm...
Going through the starship roles and our abilities
pilot/copilot - Garret, Lia, Viria, and Duerr are trained pilots, but Lia and Garret are not proficient in pilot-operated weapons; also, K2 is trained in pilot
gunner - Viria and Duerr have heavy weapon proficiency; no one else does
commander - Duerr and Garret have training in tactics; currently no one has talents that aid this spot, though if the game lasts long enough, Istara likely will
system operator - Istara is focused in use computer and trained in mechanics, Garret is trained in mechanics, Viria is trained in use comuter and mechanics, Duerr is focused in mechanics; K2 is trained in use computer and mechanics
engineer - Duerr is focused in mechanics. Istara, Garret, and Viria are trained in mechanics, as is K2.
... so yeah, it does look like Kay can't do all that much in a starship.
Given the setup in Starships of the Galaxy for a Lambda-class shuttle, I'd say we probably should go
pilot - Lia (the pilot-operated guns aren't very good)
copilot - Viria (best gunner with best guns)
gunner #1 - Duerr
gunner #2 - captive or Kay if no one's better
systems operator - Istara
engineer - K2 or captive (Duerr would be better, but needed as gunner)
commander - vacant or captive