Before you decide that the joysticks are shot check the pin outs of the joystick analog1 and 2 switches using a DMM and run a continuity test

First test put the red lead on pin 10 and the black lead on pin 12, then push the button aux 1 button...if you have continuity, the switch works

Test 2, keep the black lead on pin 12 and put the red lead on pin 14. Push aux 2 and see if you have continuity.