Correct; it is properly written
They need to write a book
Sometimes in Spanish you can omit the article (they;ellos)
The plural for "la luz" is "las luces".
Hope it helps!
The Aztec government was similar to a monarchy where an Empire or King was the primary ruler. They called their ruler the Huey Tlatoani. The Huey Tlatoani was the unlimited power in the land. That felt that he appointed by the gods and had the divine right to rule.