Tokyo to Kyoto to Karuizawa to Narita

Hi, I be traveling to Japan from Feb 2 to Feb 10 and appreciate some advice on train, onsen and places to visit .

Day 1&2 - Tokyo
Day 3 - Kyoto
Day 7 - Kyoto to Karuizawa
Day 9 - Karuizawa to Narita

Question 1 - What type of train pass should i get for the above plan?

Question 2 - Are there any onsen place from Tokyo to Kyoto that faces the ocean that is worth staying for 1 night on our way to Kyoto?

Question 3 - What are the recommended places to visit in Kyoto aside from Shrine/ temple?

Question 4 - Any must try food and onsen in Kyoto?

Question 5 - Any recommended traditional accommodation in kyoto?

Thanks in advance!!!

et

Question 1 - What type of train pass should i get for the above plan?

A 7-day Japan Rail Pass.

Question 2 - Are there any onsen place from Tokyo to Kyoto that faces the ocean that is worth staying for 1 night on our way to Kyoto?

Yes. Around Atami and Ito there are many onsen facing the sea that would make for a nice addition to the itinerary. Unfortunately I have no specific recommendation.

Question 3 - What are the recommended places to visit in Kyoto aside from Shrine/ temple?

Depends on your interests. The city also have interesting museums, palaces, historic districts, shopping and more. Here is a list:
http://www.japan-guide.com/e/e2158.html

Question 4 - Any must try food and onsen in Kyoto?

Lots of great food. I recommend to have a Kyoto style kaiseki course meal once:
http://www.japan-guide.com/e/e3963.html

As for onsen, there are no really natural ones in Kyoto. Only ones that are bored artificially deep into the earth. I personally find Kurama Onsen to be the best of them:
http://www.japan-guide.com/e/e3933.html

Question 5 - Any recommended traditional accommodation in kyoto?

If you can afford it, the Tawaraya Ryokan is as good as it gets:
http://www.japanican.com/en/hotel/detail/6232046

Thanks so much!

So which JR pass should I buy?

A 7-day Japan Rail Pass.