Should the word cafeteria be capitalized?

No, the word "cafeteria" is not typically capitalized unless it is part of a proper noun.

Examples:

* Not capitalized: I ate lunch at the cafeteria today.

* Capitalized: I ate lunch at the University of California Cafeteria.

The word "cafeteria" is a common noun and therefore should not be capitalized unless it is part of a specific name.