Will your F150 tow it? YES!
Should you tow that much weight with your F150? NO!
You probably have around 1700lbs of payload on a Lariat F150.
Tongue weight on a 9995lbs trailer should be 13% = 1300lbs.
Add the weight of passengers, cargo, etc. in the truck and you'll be over your payload.
The Ecoboost is a strong engine, but braking on an F150 is...1/2 ton rated. The braking is not superb on the F150. I've had 2 F150's, and the braking is adequate, but it is nothing like a Super Duty.
I would say you're pushing the envelope with that trailer.
2015 Jayco WhiteHawk 28BHKS Summit Edition
2019 Ford F-150, 4x4, 3.5L Ecoboost, Max Tow