is it worth it to get 14 day JR Pass with this itinerary?

Hello, here is my itinerary, I'm not sure it's worth it to get a 14 day JR Pass. there is also limited information about using the JR Pass on local trains within each city (Tokyo, Kyoto and Hiroshima) or is it mainly for use for travel between cities?
Day 1-5 Tokyo
Day 6: travel Tokyo to Kyoto (morning)
Day 6-8: Kyoto
Day 8: travel Kyoto to Hiroshima (evening)
Day 9-12: Hiroshima with day trip to Miyajima Island

Thank you