Per the title, the Peace Corps was established in 1961 by President John F. Kennedy to send American men and women overseas to promote friendship and provide needed skills to third world countries.
Richard mentions Hoboken as a place he couldn't go to. It's a city in Hudson County, New Jersey, on the western waterfront of the Hudson River. It is also part of New York City metropolitan and known as the birthplace of Frank Sinatra.
This is the seventh of 12 appearances Kitty Sullivan makes in the series as Sue Ellen. The character appears first in The Tycoons (1964), but is played by Susan Tyrrell.