battery sign
Dime light
If you mean all the warning lights come on at once this usually indacates the alternator is bad. It is either under or over charging (usually under) is a typical Toyota sign of an alternator going out.
Power Steering (toyota NZE owner)
on the dashboard? i think its the hand brake.
The dashboard symbols on the Toyota Corolla as well as other vehicles are designed to help you know that your car is running properly. You will find your engine light, oil gauge, hazard lights, and blinkers with your dashboard symbols.
How do I remove the dashboard.
The exclamation sign what does that mean?
ABS, check engine.
Low tire pressure.
Low tire pressure on the 2011
If the light is on your dashboard it would be the Anti-lock Brake System
Explanation of 2003 Toyota Corolla Dashboard