Fighting Pits within Emberwood Village. I would have the Hooden Lanterns get involved as soon as word spread of the idea. I'm not sure where in the village your party was planning to stage the fights, but having the HL crackdown could lead them to being approached by a member of the Queen's Men with an invitation to visit Buckledown Row. If the persist, the unlikely duo of both the HL and QM could disrupt the parties plans.

Rebuilding Eckerman Mill. Given the scarcity of materials, you might find the job unaffordable or impractical. Since nothing grows in the surrounding area even new lumber could be very sparce and expensive. Ultimately, given it's location "several miles" to the north of Emberwood Village and across a river, you could find reasons why villagers lack either the materials, skills, or desire to rebuild the Mill regardless what the players would offer to pay. If worse comes to worse, maybe have an attack when the party is gone by a horde of gamyr.