On the surface you seem to be ok. What I don't know is the Curb weight of the truck. You have to subtract this from the GVW, then add your weight, the dogs weight, cargo weight then add in the tongue weight of the trailer.
The Trailer Tongue weights seem tight, depending upon the hitch set up. A Weight Distributing Hitch will help with this.
You have 500 lbs. or so of cargo weight in the trailer, with only you and dog, I don't see this as a problem.
What is the weight rating of your tires, can't forget those.
I have researched this alot, but I am by no means an expert. Some others on here know far more about this than I do. I think you will be ok though.
Jayco is has one of the best reputations in the business, we haven't had ours out yet, but we think we have a great trailer.
Welcome to the forum and happy trails
Doug and Missy Martinsburg WV
2010 Jayco Jayflight G2 32bhds
2009 GMC Seirra 2500 HD Crew Cab Tow Vehicle