I am assuming that the 1113lbs of payload is from your door sticker. The reality will be that you will be under that number a bit. Any dealer installed options will reduce that number.
Spray in box liner.
And anything else you put in the truck.
I have weighed my trucks a few times and i am usually at least 100lbs below my door sticker with the permanent stuff that lives in the truck.
Lets assume you have 1050lbs of payload and I think 800lbs is a realistic tongue weight for that trailer. Any less and it probably won't tow very well and could be prone to sway.
1050-800=250 lbs of remaining payload
You and a passenger and the WDH will eat up the 250lbs of payload really fast. Are you hauling kids as well? This is a bunkhouse model!
I think you will be over on your payload best case and way over if you have 3 passengers. You will be worrying about weight and packing and keeping your tongue weight down. And towing won't be much fun.
Your truck is capable of pulling the load which it will probably do easily but the ride will probably be very soft and the truck will wallow with each bump and breeze. Ultimately it will depend on what you are comfortable with and all we can do is tell you what the numbers say.
I would guess that all the people here that are saying you won't enjoy it or will be too close to maxed out have all been there and are speaking from experience, myself included.
Good luck with the trailer and enjoy your 3/4 or 1 ton when you get one