Rail Pass?

Hello,

Will we save money buying a rail pass for the following itinerary?

December 27: Narita to Tokyo
December 29: Tokyo to Mt Fuji (specific location not yet known) and back to Tokyo the same day
January 1: Tokyo to Kyoto
January 3: Kyoto to Osaka
January 5: Osaka to Okayama and back to Osaka the same day

Flying out of Osaka, so there is no need for a return trip to Tokyo.

Thanks again for your help.

JB