Welcome back:
If you are just running power to the S terminal, then the purple wire is my first suspect. If you have power at the relay which sends power through that wire and nothing is happening, then it must be bad. And you already know that the purple wire S terminal only gets power in the start position of the key.
The only other way to confirm the wire is bad is to check it for continuity from end to end to see if there is an open in it.
Let me know what you find. I'm really interested to find if that is the problem.
Take care,
Joe
Wednesday, July 10th, 2019 AT 8:33 PM