2 weeks in Japan, 14 day pass?

Hello!

I'm planning to go to Japan next April (I like to plan early :D! ) and below is my suggested itinerary:

Day 1. Narita - Tokyo
Day 2. Tokyo
Day 3. Tokyo (day trip to Fuji Five Lakes, Hakone ?)
Day 4. Tokyo - Kyoto
Day 5. Kyoto
Day 6. Kyoto (day trip to Nara?)
Day 7. Kyoto
Day 8. Kyoto - Koyasan
Day 9. Koyasan - Osaka
Day 10. Osaka (Day trip to Kobe/Himeji?)
Day 11. Osaka - Kinosaki
Day 12. Kinosaki - Osaka
Day 13. Osaka -Takayama*
Day 14. Takayama - Tokyo
Day 15. Tokyo - Narita

• Trying to catch the Spring Festival in Takayama on April 14,15.

I'm wondering if there's a more efficient way of going about the various places?
Am I being to ambitious (I do like a packed schedule)?
Also, I'm thinking I would need a 14 day rail pass? Is it possible to save some money on travel and get a 7 day pass along side a Kansai Thru Pass or something?

Thanks for your help!

Erin