[Celeborn]

I've got the same car. #3 is simple, the little lever release for the button is sticking, it happened to me. Take off the circular plastic cover around the ignition, and you'll see a little red lever right under the button. Put a screw or anything in there to prop it so it is always in the up position. When the lever falls, it locks the button and therefore the key is stuck, but it accomplishes nothing and the car will run without the lever dropping. I believe its part of the security system. I put a screw in mine, closed the cover, and the button release now works fine.

With #1, I've also been having this problem, and I think its coolant burning from a small leak in the head gasket. I literally just discovered this, and haven't gotten to getting it fixed yet.

With #4, I think it's something with the electrical system, because the only time my car has ever stalled was at low rev in drive with everything on, and it might've drawn power away from the plugs. It shouldn't do this, but that's the only explanation I can think of. Keep everything off: stereo, lights, heater/AC at low revs and see if it still does it. I can't explain why it would go forward in neutral because, well, there's no drive gear engaged.