Yes and Yes. Although I suspect you may be over your trucks GVWR- maybe.
mtofell and drittal (and likely some other guys) have more experience with that size camper on their 6.4 trucks- they will chime in soon I suspect.
I'm 9040# dry weight on my 5th and about 10,500-11000# all loaded up. I'm right at (or maybe 50-100# over) my GVWR but almost 1000# under RAWR. My slider hitch weighs about 250# and when at the max I'm traveling with wife + 3 kids (7,7 & 9). All of us together weigh +/- 600#.
So, truck @ 7000#, people + some other stuff @ 800# + hitch @ 250# = roughly 1000#. Loaded pin weight of 5th is estimated to be about 2000-2100# which is right in line with the usual pin weight being 20% on a 5th.
OP - you're in the ballpark for sure. A lot depends on how much you load up the 5th and how many people and how much stuff you run with in the truck.
I added a set of Firestone airbags and love them. I did make a few runs without them and it wasn't bad. Really, no excessive rear sagging. The bags just smooth out the rythmic bouncing over dips in the road.