Your first task is to go inside the inn and actually talk to the quest-giver to get more information.
Why? Well, it seems the place is haunted and the it's got the Count in a bit of a muddle. It was recently purchased by Count Kurt Dysart who's staying at the inn for now. The note's called Haunted House, and you're asked to go and inspect a house located just outside the city.
It's just outside of the Kingfisher Inn if you're struggling to find the pick-up point. You can pick up this next Contract up by looking at one of the notes on the Hierarch Square noticeboard.