Several warning lights

[supra9691]

2010 Yaris, 109,000 kms (67,730 miles). Was out driving yesterday and the first thing I noticed was the battery warning light, followed by the engine coolant temperature warning light. Not long after, the engine indicator light came on. The heater wasn't blowing any warm air. Today, I filled it with coolant (it was very low) and cleaned the battery terminals. I then took it for a drive around the block and only the battery light was on, the coolant light and engine light had gone out. Within minutes, the engine light and coolant light came on again. I then started noticing stiffness with the steering. I got it back in my driveway and by that time, these lights had come on:
1. Charging system warning light
2. Engine Coolant Temperature light
3. Engine indicator lamp.
4. Electric Power Steering Warning light.
5. Brake System Warning light.
6. ABS Warning light.
I turned the car off in the driveway and now it doesn't start. This doesn't look good...