Planning to explore Ito and Atami area

Hello, my friends and I are planning a trip to the Atami and Ito areas. I know that the Tokyo Wide Pass will cover these two main JR stations (Atami station and Ito station), but not so sure if the pass will also cover the other JR lines like the Ito lines (we’re deciding if we want to stay around Atami station or the Kinomiya station) and the other local lines within the area too?