Before died it sputtered and backfired, gave it throttle it died. Towed to my house and turned it over many times, then it started. I pushed pedal to give it gas and it died.

Usually when you get a backfire thru the intake the problem is timing or a lean fuel mixture.
If you are sure the ignition system is in good condition, I would have the fuel pressure tested.
You could also have a vac leak that is random, or a problem with the throttle position sensor. But if the sensor has failed you should get a trouble code and check engine light.

Sounds like the timing open the distributor and in there is a relector,is there alot of corrosion? This reluctor has a tendency to shift out of position causing the vehicle timing to retar,Another area to inspect is the MAP (manifold air pressure) .This sensor monitor engine load according to vacuum when this goes out you cant accelerate the vehicle and it sputters as the vehicle tries to accelerate,you need to check that the vacuum hose has not come off,or just failed

I had the same problem and it was the throttle position sensor. have you replaced this? Very easy and solved everything.

Definitely time for a tune up ... before you destroy your car.

How many miles? I am NOT a mechanic! Sounds like possible timing belt/chain jumped a tooth. Or the timing advance mechanism is malfuctioning. (Unlikely - check distributor is tight or not shifted from normal position too far back or forward.) Assuming belt and not chain, 80 k miles or more, likely need to replace timing belt in any case, before it breaks. If it breaks, you'll be replacing valves and pistons too.

As you have replaced all the obvious things that could cause the symptoms it may be a good idea to have a cylinder compression test done , if comes back OK i'd try a fuel addative , one that covers the catalytic convertor , as there are many sensor's involved in the fuel/exhaust system as you know , this addative will clean any residue affecting there reading's , hope this helps

Could be lots of things. Could be plugs or wires or a combination of both are going bad. Probably time to change all of them any way.

Sounds like the fuel system lost its prime.

Remove air cleaner, pour about 1/4 cup gasoline into the throttle body/carburetor, put air cleaner back on, start car. Repeat until it runs. You may get a small backfire in the throttle body, so don't be looking at it while someone else starts it. Good idea just to stand back from engine when engine is cranked.

Might be fuel pump, or filter is pluged up, best to chg. filter and then do a fuel pressure test.

I still think this is a timing problem, most likely with the crankshaft sensor. However, it could also be in the throttle positioning sensor, since you had raised the idle to get it to work momentarily. Also, the mass air flow sensor cannot be ruled out entirely. I would start with the crank sensor, then the throttle positioning sensor. Try these and let me know.