I can pretty much gauruntee you have a bad ground somewhere.  I have this problem in my 70 and I know that it is the circuit board on the back of the dash.  It happens when a hot wire touches metal.  I had the same problem in my 69 and it ended up being the headlight switch was shot.  I put a new one in and it worked great.  I seriously doubt you need a new dash harness.  They don't really go bad unless you have a meltdown of some sort.  Both of my cars have the original harnesses in them and they work great for being 34/35 years old.  Try the simplest things first before diving into harness replacement.  Hope this helps.

Tom

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