Will neon lights cause eye problems or damage to my eyes. 2hrs exposure?

Can't tell: That's like asking, "Will a flashlight damage my eyes?" It depends on many factors, such as what one does with the light, how intense is the light, how far away is the light, whether the light is direct or indirect, etc... Neon lights are everywhere, although less common in recent years due to the increasing use of other types of lights, such as LED bulbs.