So far in two instances, both when coolant leaked out of a hose, my car has experienced run- on as in when i took the key out it didnt stop and i had to resort to poping it into first and stalling it out. Any advice on what this means or why it happend would be great. Thank you

 

WOW! Thats the first time I have ever heard of that happening. Anyways it sounds like you have a problem in the igintion switch, or igintion module. Hope this helps

 

once in a while my car does this, like if i turn it off the will sputter and fire once or twice more, but it wont stay actually running

 

If it stays running smooth, then its definately a problem in the ignition switch or some kind of wiring to the ignition. If it stays running for a few seconds but is rough, the problem is probably leaky injectors.

 

is it even fuel injected?

usually with fuel injection when u turnoff the key it shuts off ignition as well as fuel injectors, but if u have a bad ignition module, or ignition switch then everything could still be running

when a car continues to run after being shut off, and it sputters the whole time is called dieseling, because u dont have spark but it still ignites on compression, just like a diesel engine, but it only happens on a few cylinders

its usually caused by excessive heat, or high compression/low octane gas,
thats about as much as i can help

 

Carbed motor right? Do you remember what your idle RPM was when shutting off? Run-on/dieseling is most often caused by too much RPM. If you're RPM is higher than 800 in park/neutral, look for either a maladjusted carb, a choke problem, or a vacuum leak. If it still does it when the RPM is set to the underhood sticker, check ignition components and engine temperature. Most likely you'll find a choke problem, as is quite common with older neglected QJets.