Which Pass to buy?

Hello, we will be arriving at Fukuoka airport in mid April 2026 and departing Tokyo after our trip. Our itinery as follows:

Day 1 : Hakata
Day 2 : Oita (Beppu & Yufuin)
Day 3 : Kumamoto
Day 4 : Kitakyushu /Mojiko /Shimonoseki
Day 5 : Hakata
Day 6 : Okayama / Kurashiki
Day 7 : Tottori / Sakaiminato
Day 8 : Tokyo / Yokohama
Day 9 : Alpine Kurobe Route
Day 10: Kurobe Railway / Toyama city
Day 11 : Mt Fuji
Day 12 : Leaving Tokyo at nite

From Day 8 to Day 12, will be staying 5 nites at Shinagawa.

May I enquire what JR passes will you recommend?

Thank you in advance.