I can't open your file since you're using a plugin I don't have.
But what if you make a variable "movement" that you set to 0 when the character is supposed to be idle, 1 when he's should walk, and 2 when he should run. Have these as the conditions for your move events instead of the button clicks.
Then when you click the left button, you set the variable to 1, right click sets it to 2, and so on..