Is 7 days JR pass good solution for my trip?

Hi.
I have a question if it is worth to buy a 7 days JR pass for this trip from day 5 to 10 when we will be travelling from Osaka where are we staying to another cities around and on the same day back to Osaka and on the last day to Tokyo airport.

As we are staying fist 4 days in Tokyo. What is the best to buy?

Days 1: Arrive to Narita and travel to Shibuya
Days 2 – 4: Tokyo
Days 5: Travel to Osaka
Day 6: Travel from Osaka to Kyoto and back
Days 7: Travel from Osaka to Hiroshima and back
Day 8: Osaka
Day 9: Travel from Osaka to Nara and back
Day 10: Travel from Osaka to Tokyo Narita airport