I ended up butt splicing the two broken wires and taping up the two exposed ones. I then electrical taped the wires, slid the loom back through the tube, reconnected everything and now all is well.

 

Right license plate notification is back but comes and goes. Notification says the light is out but I clearly see that it is on. I noticed the bulb had a dark spot on it and so I replaced the bulb and the notification went away but came back later. I think I may have a poor connecting butt crimp.

I didn't tin the wires only because I don't have a portable soldering iron or any place to plug one in. Its not as bad as it was before because the light is still on even though the notification is still present.