I have 7 days to spend in Japan and want to see as much as possible. I arrive in NRT on Sunday and Fly out of KIX the following Sunday. The plan is to purchase a 7 day rail pass to take advantage of any night trains and fly to Osaka day 4. I also have a lot of avios and wouldn't mind flying as well. I would greatly appreciate any advice on maximizing my time and the combination of half day trips.

Day 1: Arrive in Tokyo:
Shinjuku Gyoen National Garden
Asakusa Temple
Oriental Bazaar
Meiji Shrine
Shibuya Crossing
Day 2: Tokio –Nikko - Toshogu Shrine
Chuzenji Lake-– Tokio
Day 3: Tokio – Kamakura – Hakone
Kamakura- Hasedera Temple
Great Buddha of Kamakura– Tokio
Day 4:Tokio-Osaka am flight-Osaka- Kyoto – Nara
Day 5:Kyoto- Nijo Catle – Himeji-
Kinkakuji- Golden Pavilon -The Higashiyama District- Historic
Day 6:Fly to Nagasaki-Hiroshima-Osaka
Day 7: Osaka