Nagoya to kumano, koyasan, yoshino

The way i plan is return from hakone then to kumano , koyasan and yoshino.after that i will go to nara and kyoto. Is that proper way ?

As you wrote the order in which to visit, I think it is good. However, you Should be careful, it is about how to go to Koyasan from Kumano Hongu Taisha. The number of buses is limited, it will take more than five hours.

One pathway is how from Hongu Taisha, Gojo Station, Hashimoto Station, Gokurakubashi Station, to Koyasan, get on the bus and train.
http://www.tb-kumano.jp/en/transport/
http://www2.tb-kumano.jp/en/transport/pdf/Hongu-Koyasan-via-Gojo.pdf

One other way is from Hongu Taisha, Kii Tanabe Station, to Koyasan, get on some buses.
http://www.tb-kumano.jp/en/transport/bus/#map
http://www2.tb-kumano.jp/en/transport/pdf/Kii-Tanabe-Ryujin-Koyasan-bu...
In this case, the bus to go to Koyasan only two times a day, it will not be operated only during the high season and weekends.

For a description of the means of the second, I forgot to write the timetable from Hongu Taisha to Kii Tanabe.
http://www2.tb-kumano.jp/en/transport/pdf/Hongu-to-Tanabe-Shirahama-bu...

Really thanks thats really useful information