Wiring diagram reversing lights - 2008 Peugeot 308 1.6

Radio wiring

https://www.google.com/search?q=1997+ford+e350+radio+wiring+diagram

Reversing lights

https://www.google.com/search?q=1997+ford+e350+reversing+light+wiring+diagram

..

Limited help in the link, but it is under warranty so contact the seller or maker. Sounds like you connected the batteries in reverse?

https://www.google.com/search?q=kid+trax+ram+3500+wiring+diagram

..

The problem is you , not knowing how to diagnose the problem . Just replacing parts ! Looking at a wiring diagram to see what all is involved in making reverse light's work an then using a DVOM - digital volt ohmmeter to test the electrical circuits is how it should be done . Free wiring diagrams here http://www.bbbind.com/free-tsb/ Enter vehicle info. year , make , model an engine size. Under system click on lighting , then under subsystem click on reverse lamps . Click the search button then the blue link . Looking at the diagram I see control modules involved , plus a relay . Your best bet mite be to take it to a qualified repair shop.

Check the wiring diagram for a reverse light switch (located on the trans usually) Most common cause

open up the rear bulb compartment cover
and note the color wires running into the reverse light bulb holder

a hand full of fuses as you
use a LED test light or voltmeter to find the right wire

and use those color wires as your power /earth for the reverse camera

or you need the rear loom wiring diagram for that 2006 chev

Hook the battery positive of the camera to the light green wire going to the reverse lights.

Get a wiring diagram and work through it. Be mindful of the grounds as well.

http://www.scantool.net/software/alldata-diy-1-month-subscription.html

I am sorry but we don't have wiring diagrams here at fixya because the diagrams are copy protected. You can download the diagrams for a small fee here.

Honda makes the Integra but it uses the Acura name in the US.
According to the wiring diagram the brake lights and horn are on the same circuit. So I would check the bulbs and sockets for a short.
The brake light switch also involves the cruise control system.