Need input from the brain trust; fuel or ignition redux

You should follow the proper procedures in diagnosing the problem 1st.
When cars sometimes sit for a long time things like a carburetor gaskets drying up and or some spark plug wires being chewed on or just wires in general being chewed on by vermin are to be expected. Now throw points into the mix... And that's something that can fail at any given time, lose those points n upgrade the ignition to electronic magnetic pickup style asap.