Very likely the force of the impact also tripped the roll-over switch. Get your owner's manual and find its location. It will probably be mounted behind a trim panel in the trunk. This switch turns off the fuel pump so the engine will stop running in the event of a roll-over. Re-setting it is a simple matter of pushing a button. Finding it is the hard part.
No, it will not.
No, vehicles should be able to start after a airbag is deployed. The accident itself could have made the vehicle unstartable.
Reset the light. Turn everything off. Turn the key on and off when the light just goes off. Keep doing this several times, the light will reset
There are many wires on a Dodge Neon that can cause a no start condition.
No, it should come on solid for about 5 seconds and then go out if the system is ok.
No, a Dodge Avenger will run without oil pressure.
No
Yes it can
I would start with your battery.
Yes, the factory alarm can cause a no start.
Yes, just about any sensor on the engine could cause a no start.Yes, just about any sensor on the engine could cause a no start.
Loose Motor Mounts