Problem: The eyelids have vertices that are influenced by multiple blendshapes. This will cause the vertices to overlap when multiple shapes are applied.
If this happens you will need to delete the influences by selecting all of the affected vertices and set the influences to zero in the component editor for all of the shapes that do not need them.
You will also need to select the upper and lower vertices and go into the component editor and delete the lower lid or upper lid influnces.
Your component editor should look something like this if you have done everything correctly.
