Japan Rail Pass

Hi there!

We’ll be going to Japan in a few weeks and we dont know if we should get the 7 days pass or the one of 14 days (because of the price difference).
This is itinerary:

Day 1- Arrive at Osaka airport- Osaka
Day 2- Osaka
Day 3- Osaka-Kyoto
Day 4 - Kyoto
Day 5- Kyoto / Nara / Kyoto
Day 6- Kyoto
Day 7- Kyoto - Takayama
Day 8- Takayama /Shirakawa-go
Day 9- Takayama
Day 10- Takayama / Hakone/ Tokio
Day 11- Tokio
Day 12- Tokio
Day 13- Tokio / Nikko/ Tokio
Day 14 - Flight from Tokio

Would you buy the 14 days pass, or get the 7 days pass and maybe use it from the day 5 to 10?

Thank you