Water Pump or something else?

[recklessspyder]

I hate writing posts because that means there is something wrong....I'd rather read others and help, but anyway.

Here's my story....just trying to get the car in good shape to trade in

1. Idler Pulley and Tensioner Pulley Changed (squeaks)
2. Belt Changed (pulleys didn't fix the squeaking)
3. New upper coolant hoses installed (broke while doing #1)
----few days later
4. Random Airbag Light comes on, bought the 1.4.0 scanner (arrives tomorrow)
5. While letting car warmup last night, car shut off and I found fluid all over the place. Upon inspection, fluid seems to be dripping from the area of where the water pump would be I guess, not the expansion tank or any of the hoses I installed. When I put more fluid in, it just leaks back out

So questions....

Is the car shutting off a normal procedure for coolant issues (maybe the car was over heating?) The fuel light just went on 15 miles before my issue, so I don't think I ran out of gas.

If the water pump went, would fluid drain out without the car running?