CAR STALLS WHEN COMING TO A STOP WHAT S THE PROBLEM, HAVE NEW FUEL PUMP AND ALL NEW PLUG,POINTS AND WIRING

have a look at the fuel pump( they loose pump pressure or sees, fuel pump relay, and the fuel pump wiring connector under the rear seat this connector starts to melt sometimes due to bad connection of the pins inside.

faulty fuel pump or filter ,the vehicle speed sensor usually applies to the braking system but i suppose it could affect the PCM in an adverse way thinking the engine requires more fuel ?

Thinking back to those days. Points and capacitor. I would replace the capacitor. Check the points and if they are pitted then definetly a bad capacitor. Is that fuel line
near the exhaust causing hot gasoline and vapor lock?

Ok 1 did you buy a brand new pump. 2 did it come with a replacement wiring harness. 3 if either 1 of those answers are no go buy a brand new pump with harness. If yes to both you got a bad pump.

Could be the egr valve is sticking open. I would try diabling the valve by pulling the vacuum line off the egr valve vacuum port. You can plug the hose with a golf tee or bolt to run the test. Then drive the car on the highway where it would normally act up. If it still acts up, put the vacuum line back on the valve and check for other leaks, such as vacuum leaks--maybe the intake manifold gaskets.

When you stop if the Mazda stalls try putting the car into neutral gear and see if it still stalls. if the Mazda does not stall in neutral then the torque converter has failed and needs replacing.

could be faulty fuel pump.change fuel filter see if it helps, stop car from stalling out.

Mine stalled when I stopped and it was the Idle Speed Motor. If it only stalls when you stop, I would check that before messing with the fuel filter or pump.

You are thinking right.
Try the Fuel Filter first and see if that helps or fixes it.
If not then go ahead and replace the Fuel Filter.
Most Fuel Pump Warraties require a new Fuel Filter.
The Fuel Pump failure is obvious when the engine warms-up (fuel pump is working longer). The longer the Bad Fuel Pump works the more likely it is to stop working. Waiting allows the Fuel Pump to cool down and allows it to engage again.
Let me know if this helped or if you have additional questions or information. Feel free to contact me at FixYa.com!

It stalls and has no power since there is not fuel. It could be : 1- Fuel filter is clogged up. 2- Injectors are clogged up. 3- Throttle body gummed up. Do # 1 first if it doesn't improve the situation, then follow these items:
A- Check the injector module if it is working by Plug in NO ID at each injector electrical plug to see if they are lighted up during the cranking. - If there are lights flashing up at these injectors then Injector Module is good. - If there isn't light flashing then the injector Module needs to be replaced.
B- If the injector Module is good, proceed to C.
C- Break the connection from the gas line to the fuel Distributor and start the engine to make sure gas is delivered to the fuel distributor before proceeding to D D- Check out # 2 by removing Injector from cylinder #1 leaving the electrical plug in, with a bottle or Ziplock bag to catch the fuel then have a helper to start the engine to see if fuel coming out of the injector. If there isn't then the injector is bad. Replace a bad injector. You can repeat this method for the rest, or just replace all injectors as I would suggested as the car age.
After this, it should be running well and sometimes having stalled then the time to clean the throttle body. Good luck.