Brake pad wear sensor is likely culprit. There are two of them (one front, one rear). They are a plug and play kind of repair, pretty easy to do and not very expensive. Atlantic British sells them. RockAuto probably does too.
Also, Brake switches are known to be a sensitive item for LR3's. It's a cheap mechanical plunger type switch that is under your dash and is activated by the movement of the brake pedal. $20 at the auto parts store for a Ford replacement and you are good to go. It's a good idea to replace, even on a preventative basis, over 100k miles.