should we buy a JR PASS and what kind

Hi
we will be landing in Narita on the ebvening of the 11.11.15' stay in Tokyo for 5 nights with a day trip to Hakone , the travel to Nikko for a night' from there travel to Matsumoto for 1 night' from there travel to Takayama FOR 2 NIGHTS' and from there we will be in kyoto for 2 nights, then a night to KOYA' and then 3 nights in Kyoto again ' with a day trip to Nara. on our last day we need to travel from Kyoto to Osaka ' from there we fly back home.

What kind of pass' if any' is relevant for us?
thank you very very much for the answer.