Windshield washer/headlight washer issues

Hi, I'm thrilled to find this website!
I have a 2004 E320 wagon. My windshield washer doesn't work, although my tailgate washer works normally. Do they use the same pump? If so, it sounds like the line may be plugged or disconnected, rather than an issue with the pump itself.

Also, this car has headlight washers that don't do anything at all. Apparently they are supposed to come through two holes in the bumper and squirt washer fluid on the headlights. Are these connected with the windshield washer in any way?

Many thanks, Joe