Heres a carburetor training manual from an automotive mechanics training course 1952. It may help a little with your carburetor issues.
http://oldcarmanualproject.com/books/1952Carbs/index.htm
Now for the distributor. Is the coil the correct one for a 6 volt system? Next, remove the distributor cap and rotor, bump the engine around until the points are on the top of one of the cam lobes. Stick the appropriate feeler gauge in between the points and then push and pull on the rotor shaft to see if the point gap changes. It is easiest to see the changes with a .012 feeler gauge in there.
With a 0.012 feeler in a 0.016 gap, the remaining gap of 0.004 will show small variations more than a 0.016 gap would. A change of 0.002 would show up as a 50% change as opposed to 12-15% change without the feeler in there.
If the gap is changing, then the dwell changes as well. Every 2 degrees of change in the dwell translates to one degree of change in the timing.
Here is a procedure I like to use on distributors, especially when installing one. With the cap on, mark on the distributor body where the #1 spark plug wire is located. Now remove the cap. Set the points to the proper gap and bump or turn the engine to the desired timing mark. Install the rotor and check that it points reasonable close to the mark on the body.
If it is 180 degrees out, turn the engine one turn and align to the desired timing mark. The points should be just opening. If not, adjust the distributor until the points are just opening. If the rotor is not now pointing reasonably close to the mark for the #1 cylinder, the the distributor needs to be pulled out and reinstalled to a different tooth until the rotor is reasonably close to the mark.
Once everything is right, snug down the distributor and install the rotor and cap. Remove and plug the vacuum line, fire it up and check the timing. If it is off, it usually isn’t but it might be a degree off, loosen the clamp and adjust the distributor, then clamp it down again. Rev the motor a little and the timing mark should advance. If it doesn’t, spray a little oil on the mechanical weights. They should be under the plate the points are mounted on. You might want to do this preemptively before starting the above procedure. Turn the rotor to see if it advances, it should move a few degrees.
Once you have determined that the mechanical advance works, then connect the vacuum line. The idle should pick up a little and the timing should advance a few degrees. When you work the throttle, you should see that the vacuum advance retards when you are accelerating the engine (opening the throttle) and advances when the engine is decelerating, (closing the throttle).
One issue with these older cars is the mistaken belief that you can set the idle by ear, that is adjust the distributor without a timing light. You can often get a little better idle doing this, but the engine may have problems when driving because the timing won’t be right for the different RPMs and loads. The timing curve is a compromise and optimizing it for one parameter will often result in poorer performance for other parameters. Do it by the book and the engine will perform better overall.