You haven't listed the GVWR. If you had, you'd probably recognize that this camper weighs abouit twice your available payload. GAWR likely doesn't matter as you will bust the GVWR before you ever get near the GAWR. The 6064 pounds is probably just the two tire ratings in the rear @ whatever max psi is recommended in your door jam.
A camper that weighed 2873 pounds dry would overload my 1 ton SRW truck before I even got in the driver's seat by nearly 200 pounds and adding gear, water, and people to the camper and cab would only increase the overloading from there.