Cactusdog,
You need to weigh a total of 3 times to get all the weights. Not sure if you did from the numbers you posted.
1- Truck and trailer ready to roll down the road w/ the wd bars " latched up".
2- Truck and trailer, but with the wd bars "unlatched".
3- Truck only, leave the hitch in and wd bars in the bed.
Try to weigh at a CAT Scale as it has 3 scales that your trucks front/rear wheels and trailer wheels sit on seperately as long as you stop in the correct spot. Take a broom handle or somthing similar unless you happen to be 7' tall to reach the call button!
Then post back in a new thread with your numbers.
IF you end up needing a new hitch with higher rated wd bars, I would suggest looking into a hitch system with integrated sway control as a member already mentioned: Equal-I-Zer 4 way system, Reese Dual Cam or SC systems also. The DC (Dual Cam) is a little more work setting up adjustment wise, but a great system. The 4 way and SC systems are a little easier to set up.
There are a couple other newer hitch systems which have a growing following, the Anderson- check to make sure you have the correct coupler, and doesn't like higher tw's (tongue weights) from what I have read. Blue Ox- the "cult" for this hitch seems to be growing pretty quick! Lol I have read some good things here on the forum about it! Couple others as well, so do some (A LOT) of reading, ask questions, and pick your poison based on the info you have read.
The one thing I will agree on that was suggested is getting a set of LT tires, even LR C, will help. With our Silverado '10- 1500, it had what I call a "wiggle" in the rear of the truck when towing our old trailer (about 860lb tw). Stepped up to a set of LT C range tires and the "wiggle" (like when a kid needs to use the restroom and can't sit/stand stil) was gone. Otherwise you should be fine with your current truck as long as you don't fill the bed full when towing the tt.
Regardless of your 10k lb tow rating, the limiting factor is the payload of a 1500/150. There is a yellow sticker in the drivers door jamb which states: Passengers and Cargo not to exceed "XXXX"lbs...." This weight includes the passengers, any cargo AND accesorries you have added after the truck left the factory, your wd hitch system, and the trailers tw.
Good luck and keep us posted!!!