About police stations, 1 possibilities exist (like "高千穂警察署"). The area offers 1 spots in the "hotels" category. For town halls you have 1 locations.
For schools you have 1 places with "県立高千穂高等学校" for example.
In term of restaurants you can find 5 places (like "まかない処 祇園かえで", "そば処 天庵").
Are you looking for an apartment for sale/rent? Or interested by a house? You can check that on Suumo.