Does a 2004 Jeep Wrangler sport require synthetic oil?

No, a 2004 Jeep Wrangler Sport does not *require* synthetic oil. The owner's manual will specify the recommended oil viscosity (like 5W-30 or 10W-30), but it likely recommends conventional oil. While synthetic oil offers potential benefits like longer life and better performance in extreme temperatures, it's not a necessity for this vehicle. Using conventional oil that meets the specifications in your owner's manual is perfectly acceptable.