If you take it apart there is a fuse for the larger lights, and they blow and are soldered in place on the circuit board.  I  tried to get the fuse out and it burned the wires to the board, so not easy to replace the fuse.  
You need a new dimmer.  I can't seem to find one with both switches in the dimmer???   One for the main light, one for the little decorative light.
                
 Tony
                
 March 2020