As the title says, I can't get the any light reflections from the screen.
Also be sure to find the angle in which the light hits the screen. But you may encounter then that the white shine is overpowering and wont let you see what's on the screen, in which case you'll need to decide if you want to adjust the roughness of the screen material or maybe move your lights just so they hit the screen at a grazing angle, enough for you to have a nice gradient instead of a white blinding shine.