Given the unique circumstances, Jesper will not get in any trouble. The Lunae will simply send two rather large Guardians of the woods to retrieve Jesper to convince him to calm down. They will be fairly understanding about it, although if actions escalate physically, they will remove him from the premises and put him in time out in a quiet room.

Shortly afterwards, Thorne will write a brief letter to both Jesper and Mat saying that although they would request that Mat return with them first for rest and recovery, once Mat is fully healed, they would be willing to grant him the option of leaving for the Free Cities so the two of them can be together. Thorne stresses that their intentions are not to hold anyone prisoner.

Regarding the Coordination Post, yes, you may put this on the notable actions section!