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lol, just wait 'till somebody tells you about Bridgestone tires! No worries, you'll get it figured out. Thankfully, you have a rig that has millions of parts out there available, and lots of info on the net (good and bad...).I bet you that if you do a simple trans fluid change first - no flush, you'll notice it shifts a lot better. They're pretty tough tranny's for what they are - it should be fine to tow a smaller trailer.Did you get your hitch yet? If not, check out Etrailer.com. That's where I got my Curt hitch. Cheaper than most places, and free shipping. That ain't no small think on a hitch. Any welding shop, U-haul guy, or friend with an air compressor should be able to swap that sucker out pretty fast for you.*modified to add: Just read through and saw you're towing a trailer with a 2-5/16" ball... and sometimes a 3200# camper... I second the idea of a tranny cooler to take the stress off of it. Good tranny's, but they build heat with heavy loads fast when you're pulling a hill at freeway speeds.
I used to work as a trailer mechanic if you can get the parts I'd be willing to work on it.