Daily corresponds to the first and second definitions of diario in the Spanish dictionary. It should not only be included, but arguably should be what appears instead newspaper.
Suggestion for verbs. Since you put the infinitives in Spanish, you should accept (if not display) the two word English infinitive (e.g. to put, to have, etc.).
But even "cartel" itself should be accepted, in the sense of an illicit organization (as in drug cartel/"cartel de la droga")