|Placeholder of Doom|
I disagree this would be akin to a shop owner inviting a unit from a hostile army into their premises and then attempting to claim privacy rights. Also it isn't Tsuto's business is it? It is his fathers and he just sent a letter we have seen saying his father is dealing with goblins, if that isn't probable cause I don't know what is. There is not a country, real or imaginary, that would allow that. Goblins have just invaded the town, and the Paizo concept of them basically amounts to homicidal maniacs.
Elery sees Ameiko as someone she looks up to and is grateful for her recent kindness and is anxious to save her. If someone is in danger she won't be prepared to wait around without some concrete reason.