"(That actually makes me really sad about the relationship between ZYL's parents. Because the dad is in the know, right?)"

He is. I mean, I guess it's complicated by the part of him that is a supernatural being himself, so idk how much the human part knows exactly, but this line exists: "Remember how I let you indulge your wild fantasies and apply to create some Special Investigations Department?" So they kinda both have to know about that, otherwise the human part would be very, very confused.