Advice on which JR pass to get.

We arrive in Osaka on 26 th March 2025, at 2 pm.
Then we proceed to Kyoto where our hotel stay is booked for 4 nights.
Plan is to do local sightseeing in Kyoto for 2 days,
28 th March - Nara.
29 th March - Hiroshima & Miyajimaguchi.
30 th March- from Kyoto go to Yamanakakko, stay 2 nights for Mount Fuji.
On 1st April- arrive in Tokyo, do local sightseeing in & around Tokyo till 4 th April.
Fly back to Australia on 5 th April.

Please can you advise me is JR pass worth buying, how many days pass required & also what type of the pass required?

Thanks,
Rajiv