What causes the car to crank, shutter, then knock off?

What is your question?

One day, I cranked the car, it shuttered and knocked off. But then I cranked it again, no problems. The next day, I cranked the car, it shuttered and knocked off. Now it will only shutter when I try to crank it...it won't start at all now. I bought the car 2 1/2 years ago from a used car lot. I have only changed the oil in it, bought tires, and had a brake job done. I know there's a small problem with the transmission, the heater coil, and air needing new coolant. I figure this problem may have something to do with the fuel filter/injector. Am I even close?