Are you saying you have a brand new Bulkhead connector or a new "used" connector from another project?
If it's the later then be sure to make confirm each terminal fits snugly and securely into the used bulkhead. When I replaced the Bulkhead connector in my car I went with a new unit just to make sure there were no issues.
I also replaced the wire in the harness between the bulkhead and the connnector for the ignition switch.
I went through a dash harness repair few months back.
http://www.forabodiesonly.com/mopar/showpost.php?p=1970195180&postcount=39
After all of that, I'm now considering a Ron Frances Kit for the whole car and Crackedbacks headlight relay setup lol
AlV