What you are doing is quite up to you, the only ones on the wagon were silus and iris, they got lucky and ran into someone going that direction that was willing to give them a ride. But if you want to be newly assigned to Raven's Peek, and if you were working under Heidrek before his injury then you would still be at the fort.

As for Adrian with him being a fresh recruit I would say he would have been on his way, but using his speed I could easily see him arriving a day early. 

As for first posts just wright what you are doing no call was made so unless you were close enough to listen in on Heidrek and Silus talking, or if you know Solid from a mission in the past you couldn't really tell him apart from anyone else arriving at the Fort. I don't need a big line of people greeting me. Lol