Narita International Airport-Osaka-Hiroshima-Nara-Kyoto-Mt.Fuji-Tokyo-Narita International Airport

Hello,
We are a group of 3 planning travelling to Japan. When we land at Narita International Airport, we want to travel to Osaka the same day. I want to review my itinerary and get your opinion on the JR Pass to see whether it is feasible to get it.
Day 1: Fly to Osaka from Narita International Airport
Day 2-4: Continue to be in Osaka, but take daytrips to Hiroshima and Nara
Day 5-7: Travel to Kyoto
Day 8: Travel to Tokyo
Day 9: Visit Mount Fuji
Day 10 -11: Enjoy Tokyo
Day 12: Depart from Narita International Airport and return home.

Thank you.