The tow rating of 5,000 would be correct for a GC that came from the factory with the factory tow setup. Tow ratings always reduce to the vehicles weakest link. Since you have an aftermarket receiver hitch, you'd need to verify it's rating along with your hitch draw bar and hitch ball. Also, a factory GC would have come with a tranny cooler. I'm not sure about stock, so you'd need to verify that. They are easy to add and cheap insurance. If you're going to be towing much, I'd make sure you transmission maintenance is up to date.
1996 Jeep Cherokee SE 4X4 4.0 MT