There seems to be some confusion here. Not all stations are JR stations, and if you have something like a JR Pass you can't use them on non-JR rail lines. Akasaka
is the city subway, and you need a separate ticket (or a monthly or other pass if you will be staying 3 mos and using it a lot). There are also day passes for the subway for about 600 yen or so. The Nishitetsu is also a private rail line and not
related to either JR or the city subways.
By the way since you are staying in Fukuoka for a while, one good site with info on what to see is at
Nishi-Nippon Railroad (Nishitetsu) is a private railroad company.
With headquarters in Fukuoka, it operates local and highway buses, supermarkets, real-estate and travel agencies, as well as railways in Fukuoka-ken.
The railway operate the following four lines;
1) Tenjin Omuta Line, linking Nishitetsu tenjin and Omuta.
2) Dazaifu Line, liking Nishitetsu Tenjin and Dazaifu via Nishitetsu Futsukaichi.
3) Amaji Line, linking Kurume and Amagi.
4) Miyajidake Line, linking Kaizuka and Tsuyazaki.
[Back to Fukuoka-ken]
I took the subway from the airport to the city center and returned to the airport via the same route. It is an older subway, but safe, clean and efficient. Every station along the line has a different fare, so you have to check the fare map before purchasing your ticket to determine how much your ticket should cost. Everything is in English and Japanese, so you shouldn't have too much trouble (though it was not quite as simple as the Seoul, Korea subway!)
Flights to Fukuoka are available from many large Asian cities such as Seoul, Manila, Bangkok, and others. This is a mid-sized, modern airport with three terminals. Note that one terminal is for international flights and the others are for domestic. If you fly to Fukuoka from another country and are continuing on within Japan (to Tokyo, Okinawa, etc), you will probably have to change terminals to catch your connecting flight.
Fukuoka Airport is known as one of the very few airports that are located in city area in Japan.
Fukuoka Airport is directly connected to the Fukuoka City Subway providing immediate access to Hakata Railway Station 5 minutes, and to Tenjin, the city centre of Fukuoka, only about 10 minutes.
There is Shuttle Bus service connecting between Domestic and International Terminals.
The Shinkansen ( Bullet train) line from Tokyo and Osaka crosses to Kyusyu Kokura and terminal Hakata.
Major cities in Fukuoka-ken and around Fukuoka in Kyusyu are connected by limit express trains.
An extension Shinkansen ( Bullet train ) runs from Hakata to Kagoshima.