Moving the mouse cannot be done via batch without an external program. Same with hiding the taskbar.
hiding the mouse cursor can be done by using the ShowCursor() Routine and passing FALSE.
Hiding and showing the taskbar would be done by calling the API ShowWindow(hwnd,FALSE) on the window handle returned by FindWindow(NULL, "Shell_TrayWnd");
of course none of this can be done via batch and would require VB, C++ or some other language. And of course that would be against forum rules for me to provide.
If your lucky you could have it working by next April.