If you're pretty satisfied you've got a ship with fighjter, crew for it and the button doesn't work, I suggest submit a bug report? Have a look through the relevant list here and either post in thread if people are reporting the same thing, or start a new thread if not? (Have a quick look at a couple of threads to see how to format your report so it's easiest for Frontier. Time and place details are useful to them)
o7 Hope you get it sorted soon. Meanwhile you could try another station or relogging back into the game.