What I need to do to fix my car

I went to work one day and my car started skipping. I pull the plug wires off one at a time to see if that change anything, but it did not. Then it shut off and will not crank up. I replaced the fuel pump and fuel filter. Still nothing, so I done a compression test and it had 55psi on cylinders. Someone told me to replace the timing belt. So I replaced the timing belt and still nothing. Is there a specific way to put the timing belt on. Or do I need to replace the motor. Also I have spark and fuel it just don't want to run.