Traveling through Japan

Hello,

I would like to buy 7 days JR PASS , but need some answers to below questions please:

November 25
I plan to travel from Tokyo to Fukuoka

November 28
I plan to travel from Fukuoka to Kyoto

December 1
I plan to travel from Kyoto to Nagoya

Is JR PASS good for that with bullet train?!
If not which train type I ‘ll be using and what is the duration (time) for each trip?!

THANK YOU
Abdallah