Q: Car shakes on starting, loses power & stalls uphill

My car mileage is around 49,000. When I started my car and was on level ground, the car started to shake viciously. There was loss of power repeatedly and the l-drive had a report showing ‘chassis malfunctioning.’ I am able to drive the car only slowly. The engine light stayed on and it didn't matter how far I pressed the gas pedal, there was no increase in power. Recently my car stalled several times when going uphill. During those times the gears wouldn't shift into neutral or park. Plus the steering wheel immediately locked. I had a close call of nearly having an accident which would have resulted in serious injuries. I allowed the car to sit for three hours and then it normally started. I have seen on chat lines where others have had this problem. They say that it is the fuel system (e.g., fuel pump, fuel injectors, fuel sensors, etc.) Do you agree with them that the fuel system is the main problem?