It is a cute car. I suggest you to keep it.
What kind of problem it has. I bet it has carb in it, so the only thing
i can think of is the distributor. find a dummy spark plug, and keep it
with you. when it dies, pull one of the spark plug wires and put in the
dummy plug. Touch the engine and crank the car. you should see a spark
jump. If not, most probably you have a distributor/coil problem.