Should I get the JR Pass?

Hello, I am going to Japan in the summer for 9 days, during which I will be making trips from:

Tokyo - Kyoto
Kyoto - Koyasan
Koyasan - Kanazawa
Kanazawa - Tokyo

Would it be a better deal for me to get the JR Pass? I am very confused to which trains I can use the JR Pass for. For the above itinerary, how much more would I have to pay if I get the 7 day JR Pass?

Thank you!

Tokyo - Kyoto:
About 13,000 yen by JR trains:
http://www.japan-guide.com/e/e2363.html

Kyoto - Koyasan
Accessed by non-JR trains from Osaka. You would save only a few hundred yen for the section between Kyoto and Osaka:
http://www.japan-guide.com/e/e4904.html

Koyasan - Kanazawa

Again, Koyasa-Osaka is by non-JR trains. But from there you would save around 7500 yen for the JR train trip between Osaka and Kanazawa.

Kanazawa - Tokyo

The fastest way is partially using JR trains. A slightly slower method would use JR trains entirely and save you around 13,000 yen:
http://www.japan-guide.com/e/e4208.html

If you add it up, you get a total of around 35,000 yen. So, if you complete the major trips within 7 days, a 7-day Japan Rail Pass will pay off.

You could also consider a 14-day pass for 45,100 yen and also use it on the Narita Airport trains. It would be more expensive than regular tickets, but add some comfort.