A paid murder
Quest from: Tidar Shog
Tidar is in a small encampment outside the Outpost. He's been cheated by one of the Brotherhood's leader and wants revenge. To be more precise, he tells you to kill the one that pulled his leg. In order to find him, you have to finish the "Check up on the guard's brother" quest (see below). When you know that he's in the Rusty Ogre Inn (he doesn't spawn there until you find that out!), go find him and talk to him. He'll propose a deal: he will pay you double if you double cross Tidar and kill him. The choice is yours. You can either kill Darat Honmoria (1000 gold + Giriza reputation) or Tidar (2000 gold).
Check up on the guard's brother
Quest from: Eskel Olbrot
Eskel will talk to you when you go through the Outpost and ask you to check up on his brother who's somewhere in the ruined siege further up the road. Go there, and along the way you'll meet Ilon Kircer, who will tell you that Loth is probably dead by now. Reach the siege and look around. You'll find a dragon scale near one of the dragon skeletons - you'll need it for one of Tharbakin quests.
Go into the dungeon and find Ton Makiri. He will tell you that Loth is dead and that the siege's commander has fled to the Rusty Ogre Inn (you need to know that to complete "Paid murder" quest). Go back to the outpost and tell Eskel what happened.