You're wisely discarding heavily infested plants. Here's what you had:
Soft black eggs on leaves/stems. Tan "eggs" = scale insects (brown discs on stems/leaf undersides). Both suck sap and excrete honeydew.
Honeydew from above, or simple overwatering (transpiration).
Early stage: remove leaves, spray fungicide. Advanced: discard plant.
Vigilance prevents repeat outbreaks.
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