Reaching out for help with tow numbers

[lanedawg]

Maybe someone on here can help me with the numbers. I own a 2016 F-250 , 6.2 L/ GAS,4-wd, crew cab, SRW Lariat, short bed, with 3.73 rear end. Using a 16K Pullrite slider hitch. I have 20" Toya A/T LT 275 / 65 R20 Steel belted radial tires. Here are the numbers from Ford.
( TRUCK )
GVWR: 10,000
GCWR: 19,000
VEH. CURB WT: 6828
FRONT CURB WT: 3945
REAR CURB WT: 2883
FRONT GAWR: 4800
REAR GAWR: 6100
PAYLOAD: 3100
FRONT AXLE CAP: 6000
REAR AXLE CAP: 6200
TOWING CAP: 12,100

I'm looking at purchasing following: 2018 Jayco Eagle HT 30.5 MBOK/ 5th
wheel trailer.

Specs on this RV:
Unloaded wt: 9635
unloaded pin wt: 1795
GVWR: 11950
Cargo Cap: 2315

additional info: Pullrite hitch at 250#, Humans: ( adults & kids ) 700#
just want to know can I safely tow this particular 5th wheel safely