Your brake light sensor/control module is probably shot, it happens with age. It clips on to the rear drivers side brake light (or pass. side on RHD? not sure..) on the inside. I forget if you have to remove some of the interior hatch trim or not to get to it, but you can't miss it. It looks like this:
They are like $70-75 new, but you can pick up a used one for like $15 or so. Check the Classifieds section on here or on tt.net, or the 3 Facebook parts groups for one.