Hagi used to be the city of Mouri clan who take part in medieval period in Japan. Town of Hagi remains as it used to be, so you can enjoy lots old architectures like samurai residences, Hagi castle, former residences of great people. 30 minutes form Oomi Island by train, you can use rental bike 500 Yen.
It is 15 minutes' walk from Tamae Station on JR Saninhon Line. Or you can take a bus from Ogori staion, Syu-ho-Cave, Tsuwano and Oumi island and get off at Hagi Bus Center. Please take a bus on west circuit and get off at Hagi the ruins of a castle and 1 minute's walk. If you use a car, take a Chugoku roadway Mine IC to Hagi through R490. Or Yamaguchi IC to Hagi through R262