Yep had the axle weights flipped.
Re: the LRC tires, I believe they would be fine too. It's really a personal decision (as tires always are). I like the added stiffness of the 10-ply and tire performance...it's not about load rating. I have always found OEM tires to be crappy performance wise (rain, snow etc.). On a car you can just run them out and put good tires on, but towing with the family, I like the comfort of knowing what I have.
I now have an image of Grit Dog beating the **** out of work trucks. I may know a few people like that!