2009 Ford Focus P0628 and P1260 Error Codes: Intermittent Engine Death & Fuel Pump Issues

I own a 2009 Ford Focus Titanium and am experiencing severe intermittent engine failure. The car will suddenly die while driving, often at traffic lights, with no power to the engine—similar to running out of fuel. It feels like it's trying to start but fails completely. I took it to a garage where they diagnosed two error codes: P0628 (Fuel Pump Control Low — below minimum threshold) and P1260 (Theft Detected, vehicle immobilized — above maximum threshold). However, the mechanic noted that the car never failed during their test drive, so they're hesitant to recommend replacing the fuel pump. During another breakdown, a recovery service came to retrieve me. They inspected the vehicle and then poured fuel directly into the fuel tank—right into the fuel pump area—and the engine started immediately. But as soon as they stopped pouring, the car cut out completely. This behavior is extremely unpredictable: I can drive it for a full week without issue, or it could die after just one corner. This lack of reliability makes me deeply concerned about driving it with my 2-year-old child—especially in traffic. I'm wondering if other owners have faced similar fuel pump or electrical issues with the 2009 Ford Focus. A recovery technician mentioned that Fords, especially older models, are known for these problems. As this is my first Ford, I’m not sure what to expect. The original diagnostic codes were: - P0628: Fuel Pump Control low — below minimum threshold. DTC present at time of request. MIL off. - P1260: Theft Detected, vehicle immobilized — above maximum threshold. Previously set DTC — not present at time of request. MIL off. Any insights or advice on how to diagnose or fix this would be greatly appreciated. I’m scared to keep driving it without knowing the root cause.