Problems when the car is hot

Hello all, I new in this forum, I have a protege 94 SOH automatic, the car goes fine but when has a some time working I think that some thing it warms because the idle speed down and up when I stop on a corner or a light. after some seconds the speed stops. the car doesn't stop of work, but if I turn off the car and I try of star the car these turn on but the speed up and down and the car stops. Then the car doesn't turn on, some times intent star but doesn't can. I need wait aprox 15-30 minutes and the car turn on, this only occur when the car is hot or when stop at some parts. I hope you comments, Thank you.

Hello All,
I continue having problems. I changed the spark, cover of distributor and rotor, wires, coolant temperature sensor, air filter, fuel filter but doesn't chane anything, I hope that some one can help me, thank you.
 
Best Regards
 

I continue having problems. I changed the spark, cover of distributor and rotor, wires, coolant temperature sensor, air filter, fuel filter but doesn't change anything, I hope that some one can help me.

Have u clean your throttle body? Have your engine timing check too. Wrong engine timing might cause misfiring too. Throttle Positioning Sensor suspected too,check it with a diagnostic machine to confirm it. Hope my info might help u...

I can almost guarantee you need a new distributor buddy. Don't get a rebuild!! get a true Mazda part