Welcome to the forum!
Your numbers are contradicting, and the tongue wt, with WDH seems low. You need numbers for your exact truck, rather than possibly brochure numbers? It was good to upgrade the hitch to better quality and sway control.
Your tire loading sticker, on the door jam will give payload not to exceed XXXX. That and your RAWR number about 4,000? Your receiver hitch, on your truck will give true weights, maybe 600/1200 without/with WDH? There will be a sticker on the receiver.
Your towing wt of 13,200 is not for a high walled big front TT, but for a flatbed, loaded with sandbags or blocks.
A loaded TT, weighing 9000 lbs is a huge load for any 1/2 ton truck! Most, would not want to tow more than a 7,500 lb loaded to camp TT.
Your loaded TT hitch wt should be about 12% of total, so at say 8,500 lbs, loaded to camp, will be 1,020 lbs, plus the weight of the WDH, so near 1,100 lbs on your receiver.
Hope this helps, but keep asking, while providing real numbers from YOUR TRUCK.
Jerry