I don't know much about this specific model.. Jayco seems to get great reviews from our friends that have them though.
As for the TV... the way to do it is take the GVWR for the trailer.. in this case 11,200. Multiply that number by 25%, and that will give you what your pin weight will be, 2,800 lbs in this case. I always look at pin weight / payload of the TV first as typically that is where the problem comes up.
Look in the door jam of your truck... there should be a yellow sticker which tells you what your payload or cargo capacity is. This number will vary by Model, options, rear end gearing and so on. You will have to look up this number for your truck, or better yet, load up the family and camping gear and get the truck weighed at a cat scale.
Typically, most 3/4 ton diesel trucks have low payload amounts and are technically overloaded with even small and light 5ers... example,my Dodge 2500 only had around 2,000 lbs of payload.... hence my upgrade to the 3500.
Give some more details on your truck and we can help more... I only guessed you have a GMC 2500, since you didn't specify...
2014 Ram 3500 CCLB 4x4 Dually 68RFE, 370/800 Cummins 3.42 highway gear - Deep Cherry Red
2016 Coachmen Chapparal 360IBL
Sold - 2005 Dodge Ram 2500 SLT QCLB 4x4 - Cummins Power