Tecslicer, since i can't seem to respond to your PM, here are answers to your questions.
1. His first priorities are to boost his Resources by 1 to acquire a mistcloak (He lost his when he was disinherited, so getting a new one is a symbol for him of regaining his position) and to pick up Steel deflection and Steelrunning/Ironslide. After that, I don't have a clear plan yet. This can be justified by having him work with the hazekiller to get more wealth and practice his skills.
2. Danil originally belonged to House Ferrus, a cousin House of House Venture out in the Eastern Dominance. The brand is a little bit hard to describe. Picture a circle inside another circle, with the two circles connected by four lines, each a quarter of the way around the circle from the others. The branding is the way House Ferrus tests for Allomancers. Danil was tested in this manner at ten and revealed as a Mistborn. He spent several years as a fairly regular noble until his father decided it was time he "became a man." Both out of regular chastity and because he already knew what would happen to the woman, Danil flat-out refused. This was the first of a series of quarrels between Danil and his father that finally resulted in an epic showdown, at the end of which Danil was thrown out of his House and commanded never to return again. Danil gave himself the new surname of Drome and went undercover until he washed up in Luthadel.