Narita - Shibuya - Kyoto and Osaka - Mt. Fuji - Shinjuku - Narita (13 days)

Here's our tentative plan for 13 days:

Narita (arrive on Saturday)
Shibuya (Saturday to Thursday, will travel around to places nearby (Harajuku, Tsunashima, maybe Yokohama, etc)
Kyoto (Thursday to Sunday, also visiting Osaka and MAYBE Hiroshima)
Mt. Fuji (Sunday to Tuesday)
Shinjuku (Tuesday to Thursday, will travel around the area)
Narita (depart on Thursday)

Should I purchase the 7 day jr pass just for Shibuya - Kyoto/Osaka - Fuji - Shinjuku OR should I buy the 14 day pass to also include the trips to Narita OR should I not purchase a JR Pass at all?

Thank you for your help!