10% of 6400 is 640. You're at 700, which is about 11%. So I think you're fine.
Yes, tires are at 1425 lbs each, ASSUMING balanced equally left-right and fore-aft. But that's probably not a great assumption. Most trailers have a heavier side. Fore and aft shouldn't be an issue if you have it set up so it's level when towing, which you should have anyway.
You might want to check the load number on the sidewall and see how much margin you have. If your tires are anything like mine, I have load range C, good for 1934 lbs each. At 5500 lbs, my tires are at 1375 lbs, or 69% loaded (31% margin). So I"m not too concerned about left-right balance.
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1988 Coleman Sequoia - popup (1987-2009) - outlasted 3 Dodge Grand Caravans!
2012 Roo19 - hybrid (2012-2015)
2016 Mini Lite 2503S - tt (2015 - ???)
2011 Traverse LT, 3.6L, FWD
2009 Silverado 1500 Ext Cab, 5.3L, 4x4, 3.73
2016 Silverado 2500HD Dbl Cab, 6.0L 4x4, 4.10
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