Does you vehicle have the Factory Tow Package, or was a tow hitch added later?
The Owners Manual will answer most of your towing capacity questions.
IIRC (which means take this with a grain of salt, confirm it), the Factory Tow Package did NOT make any cooling upgrades to the vehicle, that even base form the Commander has excess cooling capacity. The Tow Package upgraded the rear suspension to handle the loads.
Also go through the maintenance schedule and towing requires you to use the severe duty maintenance schedule, which will require you too change trans fluid regularly. Do it regularly and use the Correct/Certified ATF, NOT just any old ATF.
Best thing you can do to keep your trans alive is too install a trans temp gauge and monitor it and intervene if temps get to high, to bring the temps down.
The Hemi has a Hydraulically driven fan. The PS system supplies the hydraulic fan. The O.M. will tell you to use only a very specific PS fluid from the Dealer. There has been posts about cooling problems with Hemi's and it turns out to be the hydraulic fan wearing out and they are incredibly expensive to replace. So, I think a wise step would be to replace PS fluid regularly (even though the O.M. says its NOT necessary) and only use the superior PS fluid recommended in the O.M.
Replacing Power Steering fluid is easy, with the engine off and the front wheels up on jackstands, you disconnect the ps return line to the reservoir and route it to a bucket. Turn the steering wheel lock to lock will pump the fluid out of the system and into the bucket. Reconnect the line and fill with new fluid and turn steering wheel lock to lock to pump it through and get the air out.