How to make my game mobile compatible ?

the title says everything i need to put mobile controls for my game

and does The button on clicked Event run if pressed by touch and not pressed by mouse

or i need to add another event for that

If you need controls like virtual joystick, search the forum or tutorials, there are lots of examples.

You need to remove Mouse object from your project and only use Touch. Touch will work both with touchscreen and with mouse.

Also, I don't recommend using Form Controls objects (Button, ProgressBar etc.) in mobile game. Use sprites instead.