When Stephen enters, Lucy offers him tea from the teapot. But the tea service has been brought in quite a while earlier, so the tea must be cold.
Banning plans Carter's candidacy announcement for May 16th, which he says is Mother's Day. That's impossible. Mother's Day is always the second Sunday in May, so the latest it could occur is May 14th.
Lucy says that Irene wants to make Gordon president; she would then divorce her prominent husband and marry him. But this would be considered so scandalous the president could not do it.