One problem related to brake light on has been reported for the 2016 Jeep Wrangler. The most recently reported issues are listed below.
The speed sensor for the front brakes on my 2016 Jeep Wrangler failed and led to costly repairs. The brakes locked up so bad they stalled the Jeep when I let out the clutch. The Jeep literally slammed on it's own brakes in the middle of traffic without me having applied the brakes. The brake lights of course did not come on and I nearly had an accident. The repair cost $1200. The Jeep dealer told me "this is a common problem".