Ok, so the car does crank. So the starter works. I would check for fuel first. Check for any blown fuses first. If all are good, access the fuel pump. Have somone turn the key all the way but do not start the car. You should hear the fuel pump buzz for a second or two as it is energized. If you hear no buzzing, unplug the harness that connects to the pump. Connect a voltmeter to the harness. Have someone turn the key all the way again but do not crank the car. You should get battery voltage at the connector for about 2 seconds. This is why you need someone to turn the key for you, otherwise if you do it yourself you may miss it. If you do get battery voltage, your fuel pump may be shot. It you do not get voltage, go to the fuel pump relay. Pull the relay and insert a jumper wire. Turn the key again. If you now get voltage at the harness connectory, then you need a new relay. If you still get no voltage at the connector, then you have an open circuit in the wiring. Really the best way to check for a proper working fuel pump is to simply connect a fuel pressure guage to the rail, and try to start the car. But I'm assuming you don't have one, so this method will also work. Try these steps and get back to us.
Also, if you hear the pump buzzing, that is not an indication that it is working properly. All this means is that it's getting voltage. It could still be weak.
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