Itinerary check- which pass

Hello, just wondering if the JR pass is worth it. I believe the 7 day would be cost effective but our trip spans longer. 14 day seems like overkill price wise. Any suggestions?

Nov 18 - - Arrive in Tokyo around dinner time (Haneda)

Nov 19 Tokyo

Nov 20th) - Tokyo to Hiroshima

Nov 21st) - Hiroshima, day trip to Miyajima and back to Hiroshima

Nov 22nd) - Hiroshima, Ferry to Matsuyama

Nov 23rd) - Matsuyama

Nov 24th) - Matsuyama

Nov 25th) - Matsuyma to Osaka

Nov 26th) - Osaka (possible day trip to Kyoto?)

Nov 27th) - Osaka

Nov 28th) - Osaka to Tokyo

Nov 29th) - Tokyo

Nov 30th) - Tokyo

Dec 1st - depart Tokyo