97 Pontiac sun fire anti theft system

What is your question?

I bought a used 97 Pontiac sun fire and recently started having problems with it not wanting to stay running. It will start and then cuts off. After much work and back and forth to my mechanic he said it has something to do with my anti theft system. Also I don't have an original key but went to the dealer and had one made from the VIN number but it doesn't have a black resistor strip on the key. I have done the relearn 30 min process but can't do that every time I need to go somewhere. At one point the car worked for about a week and the light would stay on then back to square one with it not wanting to stay running. Should I try the bypass videos that they show on you tube???