Thanks for posting the pictures.
I'm still a little confused as to what problem you are having, so I'll go right to the basics, and see if that helps.
I see your lead wire set-up, and it looks fine. The color of the wires is of NO consequence. So don't worry about which goes to what. The EL wire is directly powered by alternating current. If you are running DC to the EL wire, it won't work. When wiring EL wire to your car, you need a 12 volt inverter that should look something like this:
You'll notice the red and black wires on the input side. Wire these to positive and negative like any DC powered device. The black wires coming out the other side are AC, and they go to the EL wire either way. Doesn't matter.
Here's my fog light halo's. You'll see that I used all black wire to hook to the EL wire:
If you have a voltmeter, run power to the inverter, and make sure it is putting power to the leads. (Do not touch the bare AC line wire ends, or you will get a nasty poke!)
When you hook it to the inverter, if the EL wire does not light up and stay lit, the most likely cause would be a bad connection right at the EL wire. Check that connection. The thin wires that wrap around the core are the most vulnerable to breakage. And the most difficult to connect properly. Beyond that there is not much else that can go wrong other than faulty (damaged) EL wire, or maybe a bad inverter.
Good luck, and if you have any more questions, feel free to ask!