Chief .... you caved into the scumbags and their vendetta against the captain.You know the whole truth in this mess.
Now it is time for you to take control of your men and your dept.By the continued posting by certain ones simply to keep the pot stirred with no sanctions from you is very bad form.This is your time to excell simply by taking back control of the dept.You have the experience as well as the heart to do what is right and good for ZPD.
I would suggest that you as the leader of your dept enforce your instructions as given.
ZPD is best known for bad employee relations and that is terrible.