It happens when idling I'm in the car is just running in park

engine mounts are bad

run a teat. Remove the vacuum line from the brake booster and plug off. Start engine and see if it idles normally. . Put your foot on the brake pedal and apply the brakes . If the idle is still normal replace the brake booster as there is an air leak in the diaphram.. The service light is probably recording misfiring and air fuel mixture problems.. run fault codes any way just to check it out .

it could be, try tapping on it while its running if it stops you found your problem

The first thing to do is not set up the idle speed, but to set the Idle mixture screw to lean best idle setting. First, turn in the mixture screw until the engine dies or runs worse, then back out the screw (recommend turning ¼ to ½ turn at a time). The engine should pick up speed and begin to smooth out.

The battery has nothing to do with the idle speed

Some makers used Vacuum releases for their emergency brakes which had a Vacuum switch connected to the shift assembly. This would account for a stumble if Vacuum vented out through this switch.

More common for shifting stumble to occur from Park to Drive, engaging a load on the engine, not to stumble to a freewheeling Park position. Sounds like idle speed control is sluggish to stabilize the motor.

You also have idle speed control problem with A/C, kind of shows that A/C was what kept the engine running because when you turned the A/C off, the car died.

I am going to give you some Websites for wiring diagrams. Alldatadiy.com amd Autozone.com with free wiring info upon registering your vehicle.

It seems that the base Idle speed control is not working and the A/C idle speed control is.

Also check for Vacuum leaks on the intake manifold by spraying water from a pumpbottle on the seams of the gaskets.

Check ignition Relay or ignition switch for random cutouts. The fusebox layout is on the Autozone site.

I hope my solution helps.

Your ignition coil might be bad. If it is happening after it rains, check the distributor for moisture. My ignition coil went bad on my 98 jetta.

If you replace the ignition coil, it runs rough for a little bit and it needs to sync. Just drive it around a little bit and it should steady out. If it doesn't take it to a mechanic.

Good luck.

idle air control . unplug it and see what happens.

If it does not do it in park or neutral, it could be a number of things. One being a sticking Torque Converter Clutch solenoid (TCC). It could be that it needs a simple tune-up. How often does this problem happen?

If you dont have any trouble codes, this usually occurs when the idle air control valve (IAC) is going bad.

low idle speed...or the need of a tune-up