The Last Flight

Hutta
- Gauntlet - Level 3
- Tools of the Trade - Level 2
- The Last Flight - Level 4
- Big Chief - Level 6
- Settling Accounts - Level 7
- House Cleaning - Level 8
- My Sponsorship - Level 9 [Mako]
- Escaping Hutta - Level 11

Dromund Kaas
- The Hunt on Dromund Kaas - Level 9
- The Huntmaster - Level 9
- A Musty Trail - Level 9
- Family Cleansing - Level 14
- The Spy Game - Level 15
- The Melee - Level 16
- Joy Ride - Level 17 [Spaceship & Start Chapter 1]

Balmorra
- The Balmorran Target - Level 15
- Pirrell's Ambitions - Level 15
- Chaos at the Droid Factory - Level 17
- Down with the Queen - Level 18
- Bait and Switch - Level 19
- Meeting the Admiral - Level 19

Nar Shaddaa
- The Enemy of My Enemy - Level 20
- Economic Boom - Level 21
- The Underdogs - Level 21
- Catching Zees - Level 22
- Industrial Espionage - Level 22
- Professional Courtesy - Level 23
- A Dangerous Auction - Level 24

Tatoonie
- The Tatooine Target - Level 24
- Tracking the Smuggler - Level 24
- Confronting Veeboo - Level 25
- A Barter With The Lady of Pain - Level 26
- Catching A Slippery Eel - Level 28 [Gault]

Alderaan
- The Alderaan Target - Level 28
- Spiking the Punch - Level 28
- Like A Rancor In A Pottery Shop - Level 29
- Silver Tongues - Level 30
- Kingmaker for a Day - Level 31
- Honor Regained - Level 32
- The Mandalorian Killer - Level 32
- Hail the Conquering Hero - Level 32
- Fortune and Glory - Level 32 [End Chapter 1]
- The Heart of Darkness - Level 32

Taris
- A Friendly Wager - Level 32
- A Family Matter - Level 32
- Imperial Bounty - Level 33
- To Walk in Dark Places - Level 33
- Geroya be Haran - Level 34
- Honor or Glory - Level 35 [Torian Cadera]

Quesh
- Endorsement - Level 36

Hoth
- A Dish Served Cold - Level 38
- Cool Reception - Level 38
- Digging His Own Grave - Level 38
- Fire and Ice - Level 39
- In Cold Blood - Level 40 [Blizz]
- Notorious - Level 41
- A Failure to Communicate - Level 41
- Laying Low - Level 41 [End Chapter 2]

Belsavis
- The Ferryman - Level 40
- A Flicker of Hope - Level 41
- Juxtaposition - Level 42
- Mnemonia - Level 43
- Where Few Follow - Level 43
- A Thousand Pardons - Level 43
- No Strings Attached - Level 44 [Skadge]

Voss
- At Arms Length - Level 44
- Nihilistic Mystics - Level 45
- Captive Audience - Level 46
- To Still a Bleeding Heart - Level 47
- Thus, Always, to Tyrants - Level 47

Correlia
- Hostile Takeover - Level 47
- A Queen's Ransom - Level 48
- The Thin Blue Line - Level 49
- Reckoning - Level 50
- Number One with a Bullet - Level 50
- Some People Just Need Killing - Level 50

Contrary to the above comment, I do not believe there is a choice to letting Vexx live. All conversation options, including asking Vexx to calm down, result in combat. As such, there does not seem to be any capability to walk away with a peaceful solution and the usual lightside points associated with such a choice on this particular quest.

Reward from this mission is the Homestead Defense Pistol:
http://www.torhead.com/item/6B8Tlrp/homestead-defense-pistol