Does a 2004 Jeep Wrangler sport have limited slip differentials?

No, a 2004 Jeep Wrangler Sport did not come standard with limited-slip differentials (LSDs). They were not a standard option on that model year. A 2004 Wrangler Sport would have had open differentials front and rear. LSDs were available as an option on some higher trim levels or as an aftermarket upgrade.