Objectives: Find the Star Map
Manaan is a neutral world, inhabited freely by both the Sith and the Republic, as the Republic soldier outside the docking bay's doors will tell you. There is only one other NPC in the docking bay, a Selkan by the name of Nubassa, who isn't important except as a solution to the Trouble with Gizka world quest.
Objectives: Move along, move along
The only point of interest here is Jolan Aphett, a no-nonsense Pazaak player with the endearing combination of a merely average deck and a lot of cash to freely dispense at high limits. If you ever need money, you'll always be able to hit Jolan up for spare credits, provided you have a decent Pazaak deck. Other than him, the only point of interest here is the kolto distribution center, which doesn't have any significance just yet.
Head through the gates to the west courtyard.
Objectives: Pursue side quests
There's nothing critical to KOTOR's main quest in Ahto West, but you can pick up a few side quests for extra experience.
Once you enter the western section of Ahto, you'll run into Elora. If you have Jolee Bindo in your party, she'll ask to speak to him, so shuffle him into your party and initiate a conversation. Thus begins the Sunry Murder Trial side quest. Two other side quests, entitled Missing Selkath and Republic Hiring Mercenaries, are given by a couple of Selkath hanging around in the mercenary enclave. Both of these are fairly easily accomplished as adjuncts to the main quest, so you might as well stop in and say hello to the mercs before continuing on.