Do you have a timing light? Do you have plug wire pliers? Any service manuals?
There are a lot of things that can be contributing. Start with the easy stuff like setting the timing. The fact that it is running eliminates many things.
To set the timing, even if you don't have a timing light, involves loosening the retainer bolt on the distributer at the rear of the engine. Just barely loosen it. Then crank the car, and after noting it's original position, rotate the distributer a small amount and see if the idle gets better or worse. Try both directions. If this has a positive effect, leave it where the best results were obtained, then tighten. If no effect, return to the original setting and tighten. This is called turing by ear. If you have a timing light, read the directions on how to connect it and the timing marks are on the balancer on the front of the engine crankshaft, behind the bottom belt pulley. I can elaborate more on this if you have one.
If you have plug wire pliers, pull each plug wire, one at a time, with the motor running. You should note a drop in performance on each one. If not, that cylinder may have issues, either a bad plug, bad plug wire, bad spot in the distributer, or mechanical problems in the cylinder such as valves, etc. Make sure to firmly replace each plug wire after testing it.
On your car, make sure you are getting 12 (13.2) volts from the alternator. Also, check your voltage regulator and resister.
I would buy new plugs, plug wires, Distributer cap, rotor, and points. This will get you a simple tune up. You may want a new fuel filter as well. This can be quite an expense and does not necessarily have to be done all at once.
The carb may need rebuilding, but there are several adjustments that you can make on it to see if they will solve your problems. This will depend on what carb you have.
There is much more I could share, but you should be looking into getting a 65 chrysler service manual, or at minimum a Haynes (bite my tongue) manual at your local parts store. The tune-up procedures in it are pretty sound.
I haven't been much help, but I hope you get an idea that there is a lot of help available!
Ditto on Leanna's mentor program!!!!! There are people in you area, one in LA and several in San Fran. Go to this link and see, hopefully there will be more coming on board as we have well over 10,000 members i am told.
http://www.zeemaps.com/map?group=165381