» Mon May 21, 2012 12:11 pm
There are three primary quests you must do for the Jarl. The first two you get from his right-hand man, and they both involve killing Forsworn (Bruca's Leap Redoubt and Red Eagle Redoubt). The last you get from the Jarl himself, and it involves retrieving Hrolfdir's Shield. He won't give you this quest until you're 20th level.
The five quests to become Thane of Markarth have nothing to do with getting access to Vlindrel Hall. They are obtained from various citizens, not the Jarl or his right hand. Don't confuse the two.
Sometimes quest prompts won't activate if you have any unfinished radiant quests (bountys and such). Finish them and try again. If all of this doesn't work, and you still aren't given the option, it's bugged and you're screwed. The only way around it is to go through the civil war quest, and side with the Stormcloaks. The Silver-Bloods take over, and the new Jarl will instantly give you the ability to purchase Vlindrel Hall.