Can a 2008 Toyota Sequoia 5.7L tow a Salem 33' TT

I think you're iffy on the payload of the truck. You have only 1315 payload, but you have 900 lbs on tongue weight and 605 lobs of passengers, plus possibly fuel and stuff that you bring in the bed or cab of the truck. Call it 100 lbs. Total 1605, around 300 more than your payload. Unless I am getting something wrong from your description.

Brian