For some reason, I'm recalling a post yesterday that surprised me about someone having eml, dsc, and brake light on...and I think it was a bad throttle body...I think that's what I heard.
That round connection gives folks problems too...but if you haven't cleaned it, I wonder if maybe it's hanging up. That's speculation...so I shouldn't have said anything. I know you have different lights.
Have you done a thread title search for all your lights yet...I'm sure you're not the first to have them all. I'm not sure if you meant your eml light is on or off...but the way you wrote it makes me think it's on still.
Next step is the 100%, no holds barred jfojing of your car...getting rid of anything aftermarket...painting it green. Fern Green.
Upcoming NYC dates: Jan 8 and 27. See Facebook for other shows and PM me if you can make one...love to see you there!
Mangofy your E46!