JR Aomori Station is located in Aomori City and along with JR Shin Aomori Station is the gateway to the Aomori City.
While JR Shin Aomori Station provides access to both Shinkansen and JR Lines, JR Aomori Station only services regular JR lines.
But if you are visiting Aomori city, make sure that you book your hotel around Aomori Station because this is where the downtown and the shopping districts are. Also, it has a full service bus stop to take you to various places within Aomori City. Enjoy.
AloJapan.com