1997 Mitsubishi Galant Dead Key

For the past 2 years the car would start after turning the key 5 to ten times during this time I would hear a clicking sound every time, I turned the key, now the car is dead, there is no clicking sound and the car will not make any kind of noise at all, all i'm getting is a dead key. I've been told it could be the ignition, or the neutral switch, or the starter silonoid?
I would like to save the little money I have and only have to change one part to fix the problem.
I forgot to ad that I have an remote start and it still would do the same thing sometime it would start the first shot and most time I would have to push the button a number of times, so I personally dont think its the ignition.