For my 88 XJ the owners manual says:
0-2000 lbs - 4 or 6 cylinder, any trans.
2000-5000 lbs - 6 cyldiner, auto trans, Aux trans cooler, power steering, 20 gallon gas tank, heavy duty cooling with electric fan.
The are people who have towed more with a 4 cylinder and with a manual transmission but there is an issue with the hydraulic slave cylinder of the clutch not able to work with the loads of towing.
Also I think my tongue weight can go up to 700 or 750 but your hitch may be rated for less. The hitch on my XJ says 3500 lb limit with a ball hitch, and 5000 lb limit with a weight distribution hitch.
I recommend you get the trans aux cooler at the dealer, it may cost more but it will fit right the first time. I installed the cooler on my 88 XJ, it fit like a glove and in the future any mechanic will know what I have.