Orias system - no patrol mission
Mac System - Space Patrol. Enemy: Orion. Orions are using the system as a base of operations. Destroy 5 squadrons and the base.
Mryax System - Space Patrol. Enemy: Klingons. Your warp core is damaged. Scan asteroids for repair materials while fighting/avoiding Klingon patrol ships. Possible to finish without combat, but unlikely.
Vestalan System - Space Patrol. Enemy: none. Find and tag 4 mines for later disposal. No combat.