Yes the glow plug light does go out as well as the SRS light. All others stay on.

Well shame on me. I inspected all the fluids and tested the ABS and it worked. I haven't driven the car much, but since the battery hasn't gone dead, I ASSUMED it was charging, but I did not confirm that. I will start the car, turn on the headlights and disconnect the battery. If the lights go out, then I'll know that the alternator is not working.

Assuming it is the alternator, should I replace the entire alternator or just the regulator?

BTW - You guys are AMAZING!!!

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1999 E300 Turbo - 112K miles
1987 300D Turbo - 89K miles
1984 190D 5spd - 152K miles
1969 220D Auto - 170K miles