Fleetwood Evolution E2 pop-up with 2009 V6, no tow package

Newbie Dallas here. I just bought a 2009 V6 4 x4 double cab, long box automatic without the tow package. I am going to buy a 2006 Fleetwood Evolution E2 tent trailer, dry weight 2704 Lbs. I have had installed a Vally class III hitch and a Prodigy brake controller - 5000 lbs. and 500 lb. tongue weight. No tranny or rod mods on the truck. Also no WDH at this time. I don't intend to load the trailer beyond 3300 Lbs, tongue weight less than 400 Lbs I hope. How am I looking so far?

 

Corrections above, sorry

 

You'll be fine.

 

Thanks very much. I am a novice tower. I worry if I will need a WDH with sway damping. I don't think I need to worry about the automatic transmission if I take it easy and use 4 mostly.