Ozgalis, could you show a screen grab of the blue glass's AE? Also I don't think the tracing in the render settings and/or the light are high enough to accommodate all the refractions, or even your shadows because the pawns' shadows aren't showing under the chess board. Also, even if you're just sitting them inside a box or sphere or something, it will make the reflections/refractions look better than floating around in empty space.