Is 21 days JR pass worthwhile based on this itinerary?

We will be in Japan from 1st Apr to 21st Apr.
Planned itinerary while in Japan
Arrives Narita airport 1st Apr and staying in Tokyo for 6 nights- 1st Apr to 7th Apr
Then to Yudanada Onsen for a night - 7th Apr to 8th Apr
Then to Takayama for 2 nights. May hire a car to see the surrounding area- 8th Apr to 10th Apr.
From Takayama, proceed to Hiroshima-Miyajima island for 2 nights- 10th Apr to 12th Apr
Then from Hiroshima to Osaka for 5 days. Using Osaka as the base, day trips to Nara and Kyoto- 12th Apr to 17th Apr
From Osaka to Kinosaki for 2 days- 17th Apr to 19th Apr
Kinosaki to Mt Fuji (Hakone?) for a night - 19th Apr to 20th Apr
Mt Fuji to Tokyo for 1 night - 20th Apr-21th Apr
21th Apr leaves Tokyo for Narita departure.
Is the 21 day JR pass the way to go for this itinerary?
Thanks and regards,
KC