Honest Debt
At the Kashyyyk Landing Port, you'll run into a merchant named Eli Gand, and his indebted servant Matton Dasol. Apparently Matton's shipmates decided to abandon him on Kashyyyk instead of paying his debt, leaving him high and dry until he works it off. Eli seems to be a bit too unctuous to be believed, however, so it'd be worth your while to look into the matter a bit further.
Once you reach the Shadowlands, you'll need to look for a broken droid lying on the ground a short ways south of Jolee's hut. Salvage its head, then bring it back to Matton. You can either let Matton kill Eli, for a Dark side shift, or allow Eli to run away, with Matton taking his place as the merchant there. Either way, you have to complete this quest before resolving the quest involving Chuundar and the mad-claw in the Shadowlands; Eli and Matton will disappear afterwards.
A Wookiee Lost
When you speak to Woorwill in the Wookiee village, he'll ask you if you have any word of Rorworr, a young Wookiee who had gone on a hunt some time before but had not returned. Other NPC Wookiees in the village will have info on Woorwill, but not much.
When you make it to the Shadowlands, you'll find Rorworr's corpse a bit north of Jolee's Hut. The body contains a slaver contract--Rorworr was apparently one of the Czerka agents responsible for acquisitioning slave labor--as well as a spent bolt casing from a Wookiee bowcaster. And thus, you have yet another murder mystery to solve.
Bring the casing back to Jaarak, Woorwill's friend. He'll recognize it as his, but beg you to ask for a trial from the Holder of the Laws. Go speak to Worrrozner in the building to the east; he's apparently the Wookiee version of a judge and jury. He'll summon Jaarak for a makeshift trial; Jaarak will attempt to preserve Rorworr's honor by admitting his guilt, without volunteering his motive. You should point out the connection to the slavers if you're headed towards the Light side; otherwise, you can let him go to his death for a Dark side shift. You'll get a bit of financial compensation either way.
Hidden Hunters
Once you reach the Lower Shadowlands, you'll stumble across another Wookiee named Grrrwahrr. Heal him after he fights, or he'll die and you won't receive this quest (this gives you a bit of a Light side shift). He'll tell you of groups of Mandalorians that are hiding in the undergrowth, waiting for passersby to put away their weapons before they attack.
In order to complete this quest, you'll need to wander around the Lower Shadowlands with your weapons unequipped until the Mandalorians decide to make a sneak attack. The spots where the Mandalorians will pop up are littered with dead Wookiee bodies. Once they disengage their fancy cloaking technology, you'll have to go back to the menu, re-equip your party, then fight them off. Since these fights will usually start with your party surrounded by a few Mandalorians, you will probably want to use Force powers to immobilize or push away some of them; they'll be easier to kill if you can concentrate on them one at a time. Be sure to search their bodies after they die to gain clues as to why the Mandalorians are on Kashyyyk.
After the second ambush, you should find a swoop bike signal device on one of the bodies. Return to the swoop bike and place the device into one of them to call in the Mandalorian commander. He and his cronies can pose a tough challenge for an under-leveled team of adventurers; if you find yourself getting overwhelmed, you may want to skip these guys for now and come back when you have a bit more vitality under your belt.
That said, the commander seems to be fairly resistant to Force powers, so target your whirlwinds or waves on one of the other Mandalorians to gain the area effect benefit. You'll definitely want to take down the commander first, but make it quick, or the other guys will start throwing in cryoban grenades to slow down the action. Once they're all dead, take the commander's excellent equipment and head back to the Grrrwahrr for your quest experience.