No. The engine starts the car.
yes
No. But you may be out of gas and not know it.
nice car
yes
Unless your car is a diesel, they can certainly keep your car from starting if they're missing. They can also become fouled or badly worn, which, again, could keep your car from starting.
No, not if the battery is fully charged.
It is important to know the symptoms of a bad car part. The symptoms of a bad motor or transmission mounts are loss the car part, shaking and lots of noise.
bad transmission
It really depends on how the alarm is wired into the car. If it is wired into the ignition system the yes it will keep the car from starting if triggered.
No.
If the car will start in neutral but not in park then you may have a bad transmission safety switch. That switch confirms that the car is in neutral or park before it allows the 'start' signal from the key switch to reach the solenoid.
You can detect a bad transmission using a diagnostic computer provided by the car's manufacturer or the car dealer. You can also detect this problem when the car fails to shift correctly or does not shift into a gear at all.