I have an F-350 Heavy Duty King Ranch(Diesel)with GVWR 11,500 and rear GAWR of 7,000.  Looking to buy an Eagle Cap truck camper...weight is 2700 or 3300 lbs based on the model we settle on.  Also I will be towing either a pontoon (1800lbs...tongue weight of 180lbs) or either my 4 snowmobiles on a Zieman trailer.  Is this weight going to be an issue? How do I determine this?

You don't say if you have a dually or single wheel F-350 If it is a drw I would say no problem. A srw you will need to have real good tires as they will be your limiting factor. I have the drw F350 Arctic Fox A990 and tow a Jeep on a trailer around most of the time and every thing works great. But I would be way over tire limits with a srw truck.