Car shut off will not start and inside smells like gas

Hey all,

Read a lot of great posts on this site before when diagnosing a faulty coil pack in my mother’s Jetta. Looking forward to some more helpful knowledge again. I took my mothers car to the store last night. The car drove fine, no problems whatsoever. After getting back home and sitting in the driveway for a few minutes, the engine shut off on its own, with the lights and radio remaining on. I did not think much of it at the time, and continued getting my bags ready. The only thing that seemed out of the ordinary was the odor of gasoline inside the vehicle. I thought it was strange, but it is an old car, and assumed it was fine. When I was ready to head inside, I decided to start the car to make sure everything was fine since my mother had work in a few hours. The car cranked, but would not start. I tried a few times, but no luck. I waited a few hours, and tried again, but still could only get it to crank. I noticed the odor of gasoline could also be smelled outside of the vehicle, but I could not find any leaks under the car, or under the hood. I have tried to start it a few times today, but all I seem to be doing, is draining the battery, as it is only getting more sluggish every time it cranks. I am great at fixing things around the house, but have very little experience working on cars. For all I know, it is something as simple as a new battery, or as complicated as a fuel pump or sensor. I came down to stay with my mother while she is getting settled in at her new home and job, and money is fairly tight after moving, so I am hoping for a simple and inexpensive solution that will provide a reliable ride for my mother. I purchased a cheap code reader, and found the following three faults: P0171 "system too lean bank 1", P1176 "manufacturer control, and P0301 cylinder one misfire", which I believe is what showed when I had to replace the coil pack, however the car still started when that was an issue. Throughout the day, the odor of gas has lessened. I have also noticed that I cannot hear the fuel pump priming when I turn the key forward, even after waiting a while. The car has a full tank of gas. Any help or suggestions on this issue would be greatly appreciated. Thanks in advance!