OK- just in case someone comes along and wants to see an explanation, here's where one of the tamper proof screws is located.....
I was able to get a Dremel tool in there to grind off the heads.
Lots of tabs on the thing, but the two pointed out here are the ones to free to open it up. All my solders were good, but the red wire was broken inside the sheath about an inch from the solder. The yellow wire was stripped back about 3/4" from the solder. I cut both and soldered in more wire to replace the bad sections, removed the old, and then soldered the replacement wires to the connections. Reinforced the cable quite a bit and filled in the areas where the Dremel gouged the plastic. I filed that down and drilled out the holes. Replaced the screws with stainless socket heads. Everything is working so far.