Some comments:

With ship movement you say one at a time, but you don't mention you can move multiple ships together as a task force (p12-13).

With repair you might want to note that the free repair can be taken in addition to the repair action – so a ship could get 2 repairs in the same turn. It now looks like either or.

Scan actions: Scan adjacent Location, perhaps say "automatic success/pass", or "no system test required", or simply nothing, instead of "automatic"?
I guess the same applies to Transporter Actions.

System Tests: Each player may play one card to influence results (typo)
Same typo at Opposed System Tests.

With the tests you might want to note that Crew Cards can be expended for their Command Card value (Combat/Ops) instead of remaining as crew, and that this does not count for the one Command Card play limit.

Why not combine "Combat" with "Combat Actions"?

Perhaps it would be a good to note somewhere that whenever a command card is discarded or played from your hand you always draw a new card to replace it, so you are back to 4 cards in hand.