Does every song have to rhyme?

No way!! There are plenty of songs that don't rhyme. In fact, I can't really name a rhyming song off the top of my head, but I can easily name 3 non-rhyming songs; Fallen Angels by Black Veiled Brides, Bleed It Out by Linkin Park, and Falling Inside the Black by Skillet, but I know many more. Those are just some examples. secrets by One Republic doesn't rhyme. the lazy song does. some do and some don't.