Possible meanings are 1) she wrote Ahab's name on the letters. AT: "wrote letters and signed them with Ahab's name" or 2) the word "name" is a metonym for authority. AT: "wrote letters on behalf of Ahab" (See: [[rc://en/ta/man/translate/figs-metonymy]])
Having Naboth sit in a place of honor is spoken of as if it were having him sit above the rest of the people who were present. AT: "have Naboth sit in a place of honor among the people" (See: [[rc://en/ta/man/translate/figs-metaphor]])