Itinerary Check for multiple locations

hi guys,

would it be possible for someone to check for me if the below itinerary would require a JR pass, or not. help very much appreciated.

Tokyo - mount fuji (round trip)
tokyo - kyoto (one way trip)
kyoto - arashiyama (round trip)
Kyoto - nara (round trip)
Kyoto - osaka (on way trip)
osaka - hiroshima (round trip)
osaka - universal (round trip)
osaka - suzuka (round trip)
osaka - kyoto (one way trip)
tokyo - nikko (round trip)
tokyo - hakone (round trip)

we are planning this trip in a span of three weeks, so we would go for the 21 jr rail pass if necessary.

Kind regards,
Stephan