One should not be alarmed that the plot is "spoiled" above; the Greek spectators usually knew the plot beforehand. This can explain, for instance, why characters like Clymenestra are not "built up" or give no indication of their plans before execution.

The lover of Clymenestra, mentioned above, was Aegisthus. His desire to kill Agememnon was to avenge the death of his siblings. Aegisthus' father was Thyestes, brother to Atreus and son of Pelops. After Thyestes seduced Atreus' wife, Atreus served his {Thyestes'} children to him at a "reconciliation banquet".

Myself, I interpreted the message as this; that Athens has made the transition from eye-for-an-eye justice to a more "enlightened" system. I believe the court Athena establishes is supposed to be the first in the city.