My advice is to try not picking, scratching, or rubbing these bumps, since those maneuevrs will perpetuate the problem instead of lessening it. I can't think of any diseases which do what you describe, unless aided by the probing finger. Try applying a bland moisture cream, like Vaseline, twice a day, and otherwise leaving the spots alone. I bet they heal fine. If not, show a doc.
Best.
Dr. Rockoff