JRPass

Fukuoka - Nagasaki - Arita - Fukuoka

Hi
I am planning to visit Kyushu in end of this month...

I will be landed in Fukuoka airport on 7/27 around noon
move to Nagasaki right away.

I need time schedule for this plan
---------------- Fukuoka to Nagasaki

also I am thinking to visit Arita If I could....
However I had difficulty finding line from Nagasaki to Arita...
I am thinking to spend the night(27th) in Nagasaki or arrive Arita at night and spend night there.

I need plan for this also.... :(
--------------- Nagasaki to Arita

I find Arita to Fukuoka line very easily so this line would be easy.

Please help me :)

Thank you