I don't know anything about towing trailers but the 2007 Ford F-150 owners manual shows : fuse # 106 - 30 amp maxi fuse - for trailer tow battery charge and relay # R05 - Full ISO relay - for trailer tow battery charge.
Calculating 10-15 percent of the trailer weight gives you an approximate tongue weight range of 700-1,050 pounds. The best fit then for a weight distribution with dual cam sway control would be Reese Round Bar Strait-Line System, part # 66088. This system is a great fit for your trailer weight and the Dual-Cam Sway control will really help to keep the 31 foot trailer in line.At this weight, a rear suspension enhancement could prove to be very helpful.
The only way to know for sure is to try them, but I imagine due to the length of the trailer you will want them. A suspension enhancement system aids a truck suspension in several ways. The most noticeable is rear-end sag.
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