Ford Repair: ENGINE HARD TO RESTART AFTER WARMED UP, fuel leaks, old grandmother

Question
93 TEMPO - THIS IS A 4 CYLINDER. ENGINE STARTS GOOD IN MORNING BUT AFTER WARMED UP IF YOU TURN IT OFF FOR SHORT TIME IT IS HARD TO START AND THERE IS A STRONG SMELL OF GAS. MUST HIT GAS PEDAL A LITTLE WHILE TRYING TO START. AFTER STARTING YOU MUST FEATHER THE GAS PEDAL A LITTLE UNTIL THE ENGINE SMOOTHS OUT THEN THE CAR RUNS GOOD AGAIN. SOMETIMES WHILE SITTING IN A DRIVE-THRU THE ENGINE SUDDENLY RUNS VERY ROUGH AND EITHER ALMOST DIES OR DOES QUIT AND HAS TO BE RESTARTED. NEW FUEL FILTER AND PLUGS AND WIRES NOT TOO MANY MILES AGO. CAN'T SEE ANY FUEL LEAKS ANYWHERE ON INSPECTION OF MOTOR. CAR HAS 125,000M ON IT.  ENGINE NOT OVERHEATING OR ANYTHING DURING THESE PROBLEMS. AUTO BELONGS TO 75 YEAR OLD GRANDMOTHER AND DON'T WANT HER TO GET STRANDED. PLEASE ADVISE AND THANKS ALOT.  

Answer
Hello and thanks for the question...I'll try to help.
 I would re-look at the tune up condition of the engine. Also, take a look at the fuel pressure and fuel system. One last thing, check the computer system for fault codes.
Hope this helps,
Erik