Engine light wenton, car heated up, car would not

Your case is the car was over heated.
Here's the cause of over heating:
1) No water inside the cooling systems of the engine.
2)causes of no water: maybe there is a leak somewhere or you forgot to fill it up.
3)Failed water pump
4)Failed thermostst
5)Failed radiator cap
6)Failed radiator fan (electric or clutch type)
7)Clog upper or lower radiator hose

Engine light went on because, one of the sensors sense or detect water inside of the engine, thats why the engine is shutdown you can't start. Wait a few days to start until that sensor is dry. Check the engine oil with the dipstick if the oil turns to white, means oil and water are mix, and needs to replace the head gasket.

If the engine overheated while driving, damage to the cylinder head gasket or engine block/cylinder head may have been done, which would prevent the vehicle from starting.

A standard engine compression check will tell the tale.