You need to look at cargo (payload) capacity and rear axle weight rating, along with the tongue weight of the trailer/length of the trailer. Without any of that information it's a shot in the dark.
That said, a Laramie is going to have a lot more options than say a Bighorn, so your payload is going to be lower (likely around 1200 lbs or less). It may have the air suspension, which apparently can trigger CEL/warning lights if it detects too much weight (I don't have it so I can't say). So by going with a Laramie you're limiting yourself a bit on what you can/can't pull.
IF you're within specs, you'll definitely need a WDH and sway control. If you're not within specs, you'll need both of those and either a LOT of confidence in your abilities or a desire to keep speeds down.
It's also a used truck, that you don't know the history of. It could be a time bomb, it could be the best truck you'll ever buy.
Will it do it? Probably, yeah. Will it be the safest rig to pull it with? No. Are you ever going to have a problem or hurt the truck? Hard to say, chances are no but the possibility is there.
I would suggest avoiding the ecodiesel and the Laramie and looking for a Bighorn with the 5.7 and 3.92 gears. You'll have a better tow for less money. In truth I'd spring for a 2500, gas or diesel your choice (my '22 6.7 CTD is putting down about 22-24 mpg cruising empty and has a pretty good unloaded ride, not like my wife's 1500 but decent), and use that. It is ALWAYS better to be safe than sorry.