Car runs but starts sputtering then loses acceleration?

Okay, so, the car starts and runs then the dashboard lights came on oil/engine/brake, and all the rest, but then the airbag light flashes and I can't accelerate, and it sputters starts jerking bogs down and shuts off. I can start it back up and it drives fine again for a few miles and happens again after 2/3 times of doing so the battery is drained and needs a jump. I've replaced the mass air flow sensor and mass air flow volume control sensor and a new battery and fuel lines and spark plugs. Can someone please help? I've lost my job over this and now my mom might as well. Please help!