Car turns over but won't start. Check engine light on and an arrow that flashes

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I have been driving my car back and forth between Bend and Springfield every weekend for about 6 months. When arriving back in Bend this last Sunday, I tried to get the car up the driveway after a heavy snowfall. I tried three seperate times letting the car rock back and forth to try to get past the slick spot. The third time my check engine light came on and an arrow light blinks. Now, I can turn the car over and it acts like its going to start but will lurch (for lack of a better word) and then die. What have I done? Can it be fixed? Will it be expensive? Thank you, Cheryl