Kansai Area Pass and itinerary

I am traveling to Japan for my honeymoon for 5 days Tokyo then 5 days in Kyoto and 2 days in Osaka. I fly into Narita but fly out of Osaka Airport, so I am guessing I don't need the full on JR Rail pass.

Would the JR Kansai Area Pass Be Better off for me? And just buying a one way from Tokyo to Kyoto.
We are going from Nov 19-Dec 1st.
Here is a rough itinerary I made based on research:
Day 1-5 in Tokyo
Day 6 Kyoto:
Shinkansen from Tokyo to Kyoto
Arrive in Kyoto check in hotel
Ginkakuji Temple
Philosphers's path to Nazenji
Eikando (evening lightning, close to my hotel Westin Miyako)

Day 7: Kyoto
Kibune to Kurama Hike and then go to the kurama onsen. Is kibune to kurama easier or harder than kurama to kibune?

Day 8: Kyoto
Arashiyama
Bamboo Forrest
Togetsukyo Bridge
Kinkakuji

Day 9: Kyoto
Day trip to Nara, where TBD

Day 10: Kyoto
Kiyomizu-dera
Higashiyama
Kikunoi (Lunch)
Pontocho Dinner?

Day 11: Osaka
check in Osaka Intercontinental
Mount Kyota
Explore Osaka TBD

Day 12: Osaka
Morning go to Himeji
Kobe on the way back (kobe beef ^_^ restaurants TBD)

Day 13: Osaka
Osaka Aquarium
Other TBD
Fly out in the evening - Take JR Haruka to airport 1300Y one way
http://www.japan-guide.com/e/e2359_icoca_haruka.html

We are early 30's and would love to see fall foliage and do anything exciting as well. Any recommendations would be appreciated!

Kindly review JR Kansai Area Pass https://www.westjr.co.jp/global/en/ticket/pass/kansai/. You can use it on Haruka train.

You also have maximum of 4 days to KAP. Move Day 9 (Kyoto to Nara) to Day 10 so to utilize KAP until Day 13. You can also drop by in Tofukuji or Fushimi-Inari-Taisha which are all accessible on JR Nara line before going to Nara if you want to. Your Day 10 (Kiyomizu et al) will be your Day 9.

Day 11 - Mt Kyota? You mean Mt. Koya or Koyasan? It's actually not included in Kansai Area Pass. Check here http://www.nankaikoya.jp/en/ and here http://www.howto-osaka.com/en/ticket/ticket/koyasan.html. KAP can only be used in JR line from Osaka to Namba (or Shin-Imamiya) as you transfer to Nankai line. Review here http://www.japan-guide.com/e/e4900.html. You will be spending a whole day there or 2 if not.

You may also want to review Surutto Kansai http://www.surutto.com/tickets/kansai_thru_english.html.

If shinkansen is that irresistible, try Platt Kodama http://www.jrtours.co.jp/kodama/en/.

Else, night bus ride will do at more inexpensive price. Check Japan Bus Online, Willer Express, Kintetsu Bus, Keihan Bus, J-bus and many others here in Japan Guide (Highway bus) and thru your preferred search engine.

About Kurama to Kibune or vice versa, check here http://www.insidekyoto.com/kurama-to-kibune-hike, http://www.japanvisitor.com/kyoto/kurama-kibune and http://www.cyclekyoto.com/kibune-to-kurama.