1999 Pontiac Grand Am car dies and shakes

So im not sure where to start with my car. It started when it would die when I put it in reverse it would come back on then kinda stutter to go but would eventually go then it moved to dying when I turn a corner to fast and after sitting at a stop light the only way I could keep it from dying was to let it roll a bit and slowly push on the gas. My dad changed my fuel filter and it help until yesterday we were driving on the highway and it would not accelerate the car was still running but would not accelerate we let the car roll to the side of the road where once we pushed the brake and it completly stopped it completly died we let it sit for about 10 min and it started right back up and drove another 10 miles and repeated the process till we made it home. Not sure if it the fuel pump and seeming how that costs about $300 I would like to start with something that is possibly less exspensive and causing the problem