Which Train Ticket Should I buy? JR Pass or other / separate

Hi Arriving 27 April - leaving 12th May - travelling the following routes. Will the JR pass be best? Or other train routes.

NRT - Shinjuku - Tokyo - 5 days
(Day Trip to Mt Fuji) Tokyo - Kyoto - 4 days
Kyoto - Hiroshima (day trip to Miyajima) - 2 days
Hiroshima - Osaka - 3 days
Osaka - Tokyo - NRT 1 day

Many thanks,

Rebecca.