I need to defer to others on that one. I was pretty well assuming you had a 67/68 when you commented on the key situation. I'm not at all familiar with the 69 setup with column mounted ignition switch, as I haven't worked on one before. I'm guessing that 2nd piece you found IS actually the part you need? Sorry I do not know for sure. I believe your key cylinder is a separate part from your ignition switch, whereas 67/68 has a combined cylinder/switch assembly. To me this means the fact you can pull your key out in any position tells me you need a new lock cylinder, but this likely has nothing to do with your electrical problem unless your ignition switch is also bad.
I admit I'm speculating/guessing.
Someone who knows 69's better than I can hopefully help you.