Regional Pass or JR Pass

Hello,
I have a 10N/11D itinerary as outlined below. i need suggestions on which JR Pass (Regional) will be needed.

Dates: 9th May -19th May 2024. Covering Osaka, Kyoto and Tokyo cities.

below is a broad starting itinerary I have put together.

Please recommend which is the best JR pass is applicable for us. (regional or all Japan) considering usage per itinerary.

1) 9th May : Arrive at Osaka KIX airport 16:10pm -> transfer to a Hotel booked nearby Shin-Osaka Station
2) 10th May : Osaka local sightseeing - Osaka Castle, Umeda Sky, etc.
3) 11th May : Trip to visit Universal Studios Japan - using Train transit
4) 12th May : Day Trip to Hiroshima and back to Osaka same day - using bullet Trains?
5) 13th May : Osaka --> Kyoto, check-in to Hotel near Kyoto Station, rest of the day local sightseeing
5) 14th May : Kyoto --> Nara day tour and back to Kyoto hotel same day
6) 15th May : Kyoto local sight seeing -> Gion District, Kiyomizu temple, Nijo Castle, etc.
7) 16th May : Kyoto -> Tokyo via Alpine Route (arrive same evening in Tokyo via Nagano)
8) 17th May : Tokyo --> local sightseeing,
9) 18th May : Tokyo --> Mt Fuji Day tour -> use trains, etc.
10) 19th May Tokyo --> check-out hotel, local sightseeing, depart from HND 22:55 back to home

Thanks a lot in Advance for your suggestions on an applicable Regional Pass or whichever is recommended.

Sunil Golani
India