Traveling about Japan

Hello I’m traveling to Japan from March 23rd to April 4th. We are three adults and one child. Our itinerary is the following:
• Tokyo - arrival 24/03 25 + 26/03 • Takayama - 27/03
• Shirakawa go - Kanazawa - 28/03 • Kyoto - 29 + 30/03 • Nara - 31/03 • Osaka - 01/04 •. Island Miyajima - 02/04 • Hiroshima - Tokyo - 03/04 • Departure 04/04

Considering the itinerary I was wandering if it was worth it to get a JR pass and for how many days?
Thank you.
Kind regards,
Sophie