Being young (necessary for an awakening psionic), Syke would not have the skills that older characters have (Traveller favors us old guys).
I figure Syke would be a sort of 'gofer', doing whatever the higher ups say. In truth, although this might not be known by the crew, Syke would be grateful for the psychic peace of a spaceship, to only hear a few inner voices rather than a planet's worth. For that peace, Syke would seem to happily take the grunt work and seem unambitious.
Skillwise, besides whatever psychic powers Syke has, I picture simple skills but maybe with a learned-on-the-job Pilot and Medical skill (these skills can save or lose characters with a single roll). Leif, how do you feel about the old school Jack-Of-All-Trades rules (at a low level).
There is an advantage from the old rules that I'm not sure made the transition to GURPS, the Traveller's Aid Society. Would you allow Syke membership in the TAS for any amount of points, Leif?