You need to start from the bottom up and do some diagnostics
How old is the car, how many miles on the engine? Does it "use oil?" Does the engine overall seem to be in OK shape?
Even at that, it may have jumped the timing chain
Run a compression check. Buy a screw in compression tester, less than 30 bucks at any parts store, or search Craigslist. Get one which snaps apart and uses a standard air coupler. This is because if you later want to build a leak down tester, or remove/ replace a valve spring, this part of the tool is handy
Do a critical tuneup. Adjust the valves. Examine the distributor
wear in the shaft.
Is the mechanical advance free? Rotate the rotor, and see if it "snaps back" on the spring
Points? Examine or replace the points and condenser. A "new" condenser does not mean good, and a points system MUST have a good condenser
Electronic? Buy a .008 brass feeler gauge, and check the reluctor gap. I was astounded to see that O'Really had these in stock
Set the points if used, and set the timing. Check for timing chain slop by moving the crank ccw and then cw a couple of times, you can "feel" where the timing chaing slop ends. Should not be more than say, 10 degrees
If electronic ignition, wiggle, push/ pull the distributor pickup connector and the ECU connector in/out several times to "scrub" the connectors.
Check your ignition supply voltage. To do this, turn the key on, engine off. Use your digi meter (you DO have one?) to measure ignition voltage, either at the supply side of the ballast or the regulator, or if 70/ later, you can use the blue terminal at the alternator field. This should be within 1/2 volt or less of the battery. Put one probe on the battery positive, the other at the aforementioned points. You do not want to read more than 1/2volt, and it should be less
Inspect the ground on the ECU better yet, loosen /tighten the bolts to be sure
Test the cranking spark. Have someone twist the key (Do not jumper the relay/ solenoid) and use a probe near the coil tower with the wire pulled out. You should get a nice, snappy, hot blue spark at least 3/8" or mor like 1/2" long
Inspect the cap and rotor for grease, carbon, cracks, moisture. Replace if necessary
When was the last time you replaced the plugs or wires?
Now for fuel Next time you start the car, do not do ANYTHING with the starter. First, remove the air filter, use a flashlight, and pump the throttle. You should get a nice strong shot of fuel. If not, you have fuel vapor lock problems, or the pump in the carb (accellerator pump) is worn out.
And I'm worn out thinking about all this
Spending 15 minutes to start a car is ----without mincing words---stupid.