To enable the inquiry form only to the specific stores, select the stores that you want to enable in the Store View field under the General Information tab. Reference guide: https://magediary.com/docs/product-inquiry-support.html#general-information
Yes, set the Enable for Product View and Enable for List View fields accordingly under the Permissions tab. Reference guide: https://magediary.com/docs/product-inquiry-support.html#permissions
Yes, the admin can set the conditions like show the inquiry form only for products which attribute set is Bag or category is Gear. Reference guide: https://magediary.com/docs/product-inquiry-support.html#conditions