Lights are not displayed in Render mode Blender 2.8?

Ok, so when I open your file and change the 3dview to Rendered, it looks fine:
image

I can see you’re using a recent 2.80 build, so the next question would be, what graphics hardware do you have in your machine?

I’m going to guess that if you switch the Renderer to Cycles and hit F12 that the result looks acceptable?