Why did my car just stop out in the middle of the everglades? Could it be easily fixed?

We were on a trip to florida, and we decided to drive around the everglades by exit 101 on I75. We went out on this gravel road a ways south of I75 and we constantly bottomed out on rocks, and there were repeated loud bangs as we bottomed out at high speed. We then finally got to a paved road and then turned left onto another gravel road.

Eventually we bottomed out in our Toyota corolla and we heard a strange grinding noise coming from the car as we drove. We then noticed a light with a yellow sun and a exclamation point on the dash and a yellow light with a picture of an engine.

We kept on trying to find our way out of this jungle and the temperature guage started going up, and the engine got so it had to be floored to keep going 30 mph,

The thermometer light then came on, and the car stalled out, shuddering and spouting off steam. We finalluy got it restarted, but shortly after a little red light with a picture of a magic lamp came on, and the car started making all sorts of queeking and rubbing sounds, and then there was a loud bang, and the engine just stopped. I try to turn the key and nothing happens. The car spouted off all sorts of black smoke, and now even the headlights don't work. Thankfully there is cell signal so my ipad works. We called a tow truck and said we were broken down and lost. They said it was $200 to get us, which is ridiculous. Is there an easy fix for the car that we could do to get it rolling. There is a hole in the engine and oil all over.
Added (1). Some wires seem to have mesed up insulation and the hoses seem deformed. What could we do, its a 1996 corolla, could we fix it.
Added (2). Could you tell me what could have gone wrong with the car, what was the griding sound and what was wrong with the engine? Why wont it start and what did the warning lights mean?

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