Alright when I connect the battery to the input of the speaker I get nothing. When I pull all the drivers out of the enclosure I can get them all to move and make noise. I disconnected it from my rear speaker wires and connected it to my front as they are easier to get to and I still got nothing. I will try hooking up a different speaker to the surround wire and see what I get but I really think that I has to be the crossover.
It is the crossover or a bad or lifted connection.
Now you have the woofers out, look to see if a wire has come off the input terminal. Take out the speaker terminals if you have to. Now make sure the no connection has come off the crossover.
If connections are spades rather then soldered joints, then clean all connection carefully as spade connectors often oxidize and won't pass a signal.
The only component failure that would cause what you describe would be the inductor in series with the choke. That would be a most unusual failure, especially given that it is a surround speaker. I strongly suspect a bad connection in the speaker someplace.
If you can't sort it out and since you live in Wisconsin, and I'm in Minnesota you are welcome to ship the speaker to me and I will have it sorted for you fast.