SEL light can flash for about 400 different reasons - without reading the actual codes, and then deciphering them to find a REAL problem (codes can be secondary to a real problem) I doubt that anyone will be able to remotely diagnose your car...

rough idling and shut off can be due to many things - Idle Control Valve (ICV), vacuum leak, MAF sensor bad/disconnected, fuel filter clogged, fuel pump losing pressure... gee.. the list can go on and on...