At the end of the episode, the senior staff recommends to the President that he veto the Estate Tax Bill. They mention that he should "Get out the Stamp". They have a brief argument over whether a veto is signed or stamped. The President corrects them by stating the bill is both signed AND stamped. The President even gets out the box that holds said stamp and shows it to his staff. In reality, there is no stamp and nothing is done to the bill itself. A presidential veto is issued by a "Memorandum of Veto" addressed to the house from which the bill originated. In this case, that would be the House of Representatives. The memo outlines his reasons for the veto. Most Presidents sign that memo but it hasn't always occurred. The memo and the bill are then sent back to the house that issued it.
Connie tells Sam that she has a Ph.D. from Oxford University. Oxford does not award the title of Ph.D., a D.Phil. would generally be awarded to a successful doctoral candidate in the field of political economy.
At about 36:00 Connie Tate tells Sam that "Millions of illegal immigrants can come out of hiding, that's millions of potential voters that are going to vote for YOU." Only US citizens can vote in US elections. Immigrants, illegal or otherwise cannot vote in US elections until they become citizens.
Considerable attention is paid to the fact that the President had never vetoed a bill before. In In This White House (2000), when Sam and Ainsley meet for the first time on "Capital Beat", Mark Gottfried asks Sam how the education bill the President is signing into law soon is different from the bill he had vetoed the week before.
In the beginning of the episode, prior to the opening credits, Special Prosecutor Clement 'Clem' Rollins formally announces the official list of subpoenas to be issued (which he reads aloud). The final name Rollins reads before the credits play is, 'Toby Zachary Ziegler.' Problem: 'Toby', while it is the name those who watch the show know him by, is still just his nickname, not his given name (which would be listed on a legal document). His given name is Tobias.
Victor Campos claims he can get Bartlett California's 435 delegates. He is likely talking about the Democratic Primary. However, while that number does sound like the number for the primary, there is no reason for them to be concerned about that as Bartlett is virtually unopposed at the primary level. They should be discussing the 55 electoral votes that California has in the general election.