your tow cap. is about 8,000 lbs, with that set up, between a car trailer and your rig you will be pushing that limit, not to mention what you will be taking with you personally. Be carefull and drive slow and you should be fine, If it has a 700r4 tans do not put it in over drive ever towing.
Personally I would try to find a trailer that is as light as possible to help out, I dont know what the total weight between a 7500 and 10000 lbs trailer is but a couple hundered pounds will have a huge difference.
I have a 7500llbs trailer I know Im at my limit for both truck and trailer as I tow with a 1/2 ton, but its my presonal limit, I have a little wiggle room, my truck is much newer and trailer brakes make all the diffrence.