To help put this in perspective, let's look at the numbers.
I will use your numbers and assumed curb weight;
Curb weight of a 2002 1500 reg cab long bed is around 4200lbs,
So say the weight distribution is 65/35 front/rear that means 2730 is on the front and 1470ish on the rear. (Thanks PUCampin)
1. Truck CWR 1488- Camper (wet weight) 2442 over by 954 lbs. This rating is derived by a formula using truck weight, options, axle ratings and passengers. Most with TC's are over this number anyways. On some trucks this weight is listed in the glove box.
2. Truck GAWR(rear) 3686-1470 = 2216, Camper 2442 over by 226 lbs - this is the one of most important numbers because this is the max weight the manufacture says the axle will support safely. Also most of the loaded TC will be over this axle.
So let's say 1000 lbs of stuff in the TC and truck. So that brings us to 1226 lbs over. Also some of the weight will transfer to the front axle, but only way to determine that is to weight the combo. So for this demo I used the full weight.
3. Truck GAWR(front) 3150-2730 = 420 - TC ? This is where the COG comes in as to how much weight will transfer forward. Usually more forward the better, which won't help in this situation.
4. Truck gross is 6400-4200 = 2200, TC - 2442 over by 242.
So looking at the supplied numbers this is not a good match.
Another factor are tires, most 1/2 tons I have seen have P rated tires not LT's. So will need to possibly swap for a good set of E rated LT's. Some of the early trucks had 15" wheels which make finding LT's more problematic.
Do you want to tow something? That detracts from the Gross too.
So the bottom line is weight everything and get the most accurate weights to make your decision.
Good luck.
On Edit: WOW...I was OTL on this one, as was pointed out I forgot the truck weight. Thanks to PUCampin for catching my oversight. I can't have the new TC folks who are looking for answers, getting the wrong info.
