Ok, I finally found out how to unload and reload the driver.
I tested this simple command in the terminal:
su -c "rmmod hid_multitouch; modprobe hid_multitouch"
And it works! The touchscreen works again.
So, now I'm using tasker to run the shell commend "rmmod hid_multitouch; modprobe hid_multitouch" (use root) when the display is turned on.
And also I made a shortcut for this task on my homescreen.
It would be perfect if I can fix this touchscreen issue completely, but I'm glad to learn how to make the touchscreen work again at least.
Hopely I wish I could find the solution for this issue in near future.
And thanks again for your advice, Chih-Wei.