My text in after effects (all font) looks like it has a path or something like you see in wireframe mode, i realized this after I added a stroke and shadow effect in my text.
Try changing the stroke settings in the character panel. If that does not work, duplicate the text layer and change the top copy of the layer to Fill only.
This simply looks like the font or text was poorly designed and the areas have gaps. Nothing wrong as far as the behavior of the layer styles goes. You need to fix the text. Anything more would require to see the timeline and font panel, anyway, which you cropped away.