My SE fuel pump points went bad around 10,000 miles. It will give you a warning like you mentioned . . . Then, it will not work at all. Get new points or Dr. Beans solid state unit.
Before and after 10,100 miles:
I changed the points on my SM at 8,000 miles (PM) . . . Looks like it had another 2K left in it. All the wear was on the top point: