I am trying to install a seven prong receptacle on the rear of my 2005 duramax. I was wondering if there was a diagram available. I do know that it is different than the 2007 that a friend of mine has. Thanks a lot.

Here's a picture.

I would start by making sure the emergency break away switch has the plunger in it and it's working properly. If everything is OK with that then the 5 pin plug must be wired incorrectly. If you only tow the trailer with that truck I would suggest changing to a seven pin connector on the trailer. It would appear you also have a problem with the left trailer brake. They should work together.

there is a fuse that some of these trucks did not have installed it is a maxi fuse under the hood remove the cover of fuse box and it will be labeled under there to tell you where it is. this fuse was usually taped to the electric brake controller plug that was in glove box when truck was new

ac delco

Sounds like you may have a ground problem , or a BCM - body control module , or serial data network issues . Do you have knowledge of wiring diagrams an using a DVOM - digital volt ohm meter to test electrical circuit's ? Do you know anything about automotive electronic control modules , class 2 data network's?
2003 chevy duramax ??? What model , silverado , suburban What ??? Looking at wiring diagrams for silverado HD 2500 , i see these vehicles also have module's inside the doors . Free wiring diagram's here http://www.bbbind.com/free_tsb.html
Enter vehicle info . year , make , model an engine size. Under system click on body & accessories ,then under subsystem click power window's . Click the search button then the blue link . With a problem like this your first step should be to hook up a GM tech 2 scan tool or equivalent ! These are the only ones that can check for communication problems an DTC'S - diagnostic trouble code's in all the modules on the vehicle .

Buick Class 2 Operation Diagnosis 1998
012 GM Class II Communications
Electric Testing Techniques You Need to Know

You can obtain a factory service manual with this information with picture diagrams and step by step instructions from Promanuals.net. Here is a link to your vehicle. I hope this helps.

just did google search for ride rite air suspension and found complete install instructions & diagrams....do that!!!

The extra battery is there because of the glow plugs and intake heater of the duramax. During cold weather both of these systems draw high amperage from the batteries. A single battery will function, but not as well as a pair.

That doesn't sound like an ignition coil. And coils are not expensive, about $20 for most of them.
There may be an ignition control module on the car (which is used to control the coil's circuit for causing spark) but I'm not sure that is what you mean. On GM cars, for instance, this part costs about $40.
The word 'boot' and the 3 prong receptacle do not ring a bell with me, sorry.