Golden Route intinerary

Hello/Konnichiwa!

We are travelling to Japan in May for 13 days and would love your advice as to whether we need the 7 or 14 day pass, or is it more economical to purchase a mix of a 7 day pass and/or individual tickets?

Our itinerary is as follows

Tokyo x 3 nights
Kyoto x 3 nights
Nara x 2 nights (with a day trip to Osaka)
Hiroshima x 2 nights
Hakone x 2 nights
Tokyo x 1 night

Domo arigato gozaimasu :-)