There are two different rankings in X-Wing Alliance, your actual rank (related to battles completed) and your rating (relating to points scored).

The different ranks are (lowest first):

Recruit
Flight Cadet
Flight Officer
Lieutenant LG
Lieutenant
Captain
Lt Commander
Commander
General

The different ratings are (lowest first):

Unrated
Certified
Marksman 4th
Marksman 3rd
Marksman 2nd
Marksman 1st
Expert 4th
Expert 3rd
Expert 2nd
Expert 1st
Ace 4th
Ace 3rd
Ace 2nd
Ace 1st
Top Ace 4th
Top Ace 3rd
Top Ace 2nd
Top Ace 1st
Jedi 4th
Jedi 3rd
Jedi 2nd
Jedi 1st
Jedi Master

The items you recieve after completing family missions are:

Key to Harlequin Station
Drink Chit from Dunari's Casino
Space Pirate Flag
Selu Nameplate
Illegal Bottle of Zairona Ale
Imperial TIE Debris
Red Group Recruiting Poster
Antan's Jar'Kai Dueling Swords
Probe Droid Desk Toy
Ornamental Ship's Wheel
Alliance Civilian Battle Award
Satellite Ceiling Fan
Black Sun Insignia
Picture of Aeron
Dunari's Casino Luxury Pass
Bothan Spynet Honorary Membership
Mecernary Pilot's Jacket
Azzameen Family Crest
Liquid Galaxies