If it's not cranking at all there are two things to check first:
1) With the ignition in the "ON" position does the Cehck Engine light turn on? It should, if it doesn't the bulb is either burned out, the ECU's pre check is failing (not sure if this results in the light remaining off though) or the ECU is not getting power.
2) Check if the starter is at least making a click sounds when you try to crank. If not, make sure the alarm is arming when you lock the car and disarming when you unlock it (try unlocking the car from the passenger door with the key.
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