Lets take a step back...
Did you even check to see if the system has vacuum?
I studied the photos I posted above and right away I can tell that the line you have running to the accelerator diaphragm is incorrect.
That should be hooked up to the back of the solenoid.
From what I can tell you have no vacuum to the system or the brake switch isn't getting vacuum...
I spent some time an made a diagram, there are none on the interwebs...
http://www.gbodyolds.com/forum/showthre ... 6#post3826
Should be black wire not back, sorry
😳
However your wiring is fine.
If the vacuum all checks out you may have the wrong transducer or the solenoid or brakes switch is bad.
There is an extra terminal blade on the top of the transducer on the right with nothing hooked up to it which begs the question does that have anything to do with why nothing is working.
That little electrical box on top is the low speed sensor and decides how much vacuum to send to the gas pedal and turn everything on and off.
The solenoid is basically used in conjunction with the brake pedal switch and controls off and resume during braking.
If you solenoid or brake switch are bad that can cause things to not work as well.
The correct transducer only has two blades, the blade on the right is not on the correct RK code transducer for '82-83
H/O and Cutlass w/307 and that can be the culprit...
Best to get your test light out and test the solenoid and brake switch.
I have the correct transducer, solenoid and brake switch all NOS if you are interested.