I've been having intermittent problems on Kindle Fire HD for several days now. I was unable to re-subscribe after my first 30 day sub expired.
I thought it might be a trouble with my Amazon account so I made sure everything is clear on that end. Today I reinstalled the game from the Amazon store and was able to play one game. When I tried to get into another game I hit subscribe and it returned to the first dogfight menu screen. I hit multiplayer then play and then tried to subscribe again. It went back to the first menu screen again and said that there was a problem accessing the Amazon app store. Then the screen went black. Exited, tried to log in. Black screen again.
Edit: Tried again after writing this. I was able to get to the appstore before it froze. Then appstore did not respond. I had to restart the device.
I can access the game fine on my phone. (just cant see well enough on the small screen with these old eyes.) I can log into the forum from my phone or PC. My Kindle works fine for all other apps.
No Dogfight.
2nd Edit: Restarted the Kindle logged in. Hit subscribe. Went to app purchase. hit subscribe for $1.99. It said I have already subscribed. Now I have access to all maps. 
Got Dogfight back but now I need to go make dinner.
3rd Edit: The game works, tough it sometimes takes several tries to log in. I often have to force close he app. Also the entire device has become glitch. Later I'll try removing the app from the device and see if it goes back to normal.