The spoils system was instituted by Democratic President Andrew Jackson. "To the victor goes the spoils" meant that every government job belonged to the party in power. This drawing was meant to depict Jackson's decision-making in appointing members of his party to government positions.
The Third Punic War was the last Punic war fought between Carthage and Rome, and ended with the "Roman capture and defeat of Carthage" along with other territorial gains for Rome.
It would be under the "Office of Administration" that the chief of staff and press secretary reside, since both of these positions require the holders to have very close contact with the President.