I cannot speak for a FR3, but did get two sets of keys with my Flagstaff trailer.
As for the speed thing, have you changed the tire/wheel size on either your tow vehicle or her chase vehicle. You can look at the tag on your drivers door jamb to see the OE tire size. If you put larger or smaller than OE diameter, your speedometer will be off as it's set for the OE diameter.
An easy way to check both vehicles speed is a GPS unit. Just about everybody has one now. GPS receivers are pretty accurate at showing speed, especially if driving straight.
2011 Flagstaff 831 RLBSS
I've just ordered a chicken and an egg from Amazon.... I will keep you posted.