The Tomb of Marko Ragnus
Objectives: Locate and destroy the rogue droid.
After speaking to the Sith student outside, head into the tomb. As you can surmise from her information, there's going to be quite a few droids inside, so you might want to load up on ion weapons for any of your blaster users. If you have a sound dampening stealth unit (you can find one on a corpse just inside the door), you may be able to avoid the droid army, and achieve a Light side solution to the quest by repairing the rogue droid, but there's massive amounts of experience to be gained by killing them.
Once you're inside, there's going to be a sustained run-and-gun up a long passageway that's filled with war droids. The party members that you don't directly control will tend to rush ahead recklessly, so you may need to switch control constantly in order to keep some semblance of order among your party. Obviously, the destroy droid power will be a big help here, especially against the mark V droids.
When you go through the door at the end of the ramp, you'll meet up with the rogue assassin droid and five of his closest friends. Destroy them, then open the tomb (DC 28) to obtain Marko Ragnus' gauntlets and a sigil crystal.
The Tomb of Tulak Hord
Objectives: Destroy the tuk'ata infestation
When you find the ancient console inside this tomb, save your game, then use the console to open the door and pass through, only to be captured by Jorak Uln. He'll force you into taking an examination; all you should be concerned with is not making it a final exam.
Now, you can either answer the questions in a Sith fashion, which will result in Mekel's death and Jorak's hasty exit, or you can refuse to answer or give Light side answers to the questions, which will eventually result in Mekel breaking out of his stasis and freeing all of you, allowing you to attack Jorak. Your player-character is going to be on the brink of death, most likely, so run away from Jorak quickly before he cuts you down.
Afterwards, you can attempt to turn Mekel to the Light side. Search Jorak's body for items, then grab Tulak Hord's mask from his locked sarcophagus (DC 28). The other doors here contain urns with a variety of lightsaber crystals inside of them.