Car won't start after airbag deployed - 1997 Dodge Neon

Once the airbag is deployed you cant start car. Saftey issue.

There are computer and safety interlocks that generally prevent cars from starting after the airbags deploy. Some cars have explosive bolts that also fire to disconnect the battery and fuel pump after an airbag deployment. These are all meant to limit damage in an accident. I suggest you take the car on a flatbed truck to a dealer or mechanic.

TOW THE CAR TO UR NEAREST AUDI DEALERSHIP !!!!!!

Assuming the pump has not died, you should be able to jumper the pump relay.
The lite blue and orange wire should be power from the fuse, and the dark green and yellow wire should go to the inertia switch then to the pump.

I would think the engine would crank and start with the airbag deployed.
I would check for voltage at the starter, the neutral safety switch, and the key switch.
You might have to get a shop manual to trace the starter circuits.

2005 Towncar SRS Code 33 (3 flash + 3 flash, repeat this set for twice. then Beep 5 times pause x 5 = 25 beeps every 30min).

This means you have problem with left (Driver) side pretentioner (Seat belt retract system).
It doesn't mean physical belt or retract mechanism.It is just bomb wiring which is part of airbag system.
When airbag deploy, passenger must stay tight in seat otherwise body lean to front then slam back to seat by airbag.
if belt is loose or delay to lock, passenger's body rocks back and forth.So, system use small bomb (Fire power) to lock and retract seat belt when airbag deploy.There is small bomb and igniter in part of Seat belt retractor.
Code 33 is warning for this part on 2005 Towncar.(older model is different meaning in Ford/Lincoln, it's possibly passenger side airbag system for earlier model)
Before you work for any part of Airbag system and touch any "Yellow connector", * *Disconnect battery (negative side is good enough) and wait at least 5 min to clear all power in system**.(Airbag store back up power for few minutes to be able to deploy even in case if power disconnected)
by the way, you should move your driver seat most forwarded position before you disconnect battery to make it easy to work with seat belt.
locate driver side seat belt retractor (in center pillar between front and rear door, you may have to fight with weather strip)

Locate Yellow connector on bottom of Seat belt retractor (it's called "Pretensioner")it is located on very bottom of rear side of retractor.
only one yellow connector. (make sure your battery is disconnected)
Check its physical connection or looseness.if connection looks fine, you may have to replace whole seat belt ($180-$200 in Lincoln dealer)
You can check if pretensionor is good or bad by regular tester, but unless you know how, I won't tell (because I don't wan't you to blow out pretentionor).

no, just the fact that the airbag was deployed will not keep the car from starting.

Are you sure the smell was not deer meat on the radiator?
No one can honestly say its safe to drive and that an airbag won't suddenly deploy. Best thing to do is have it scanned to see why the light is on. Most shops will have a scanner that should work for this (save you the high cost of a dealer). The light may just be on because there is crash data stored in the SRS module and it may need be replaced.

Did the airbag deploy? I had the same issue with my 1995 Chrysler when it was struck head-on and the airbags deployed. I think it is a feature to make sure that repairs are made correctly.

If you had it repaired, take it back to the repair shop.

If the airbags deployed. I would be looking for a new vehicle. Was it in an accident? Was it starting when the airbags deployed?