Sense you are going the speed of light the lights would not come on but the switch will still work.
Never heard of a speed light. The only thing I can think of that you might be talking about is a shift light. This light is used to indicate shift points. Shift when the light comes on. All of the lights on you dash are explained in your owner's manual.
If there is no sound - that means the starter has not engaged. Take the starter off and have your local Auto Parts store check it out on their bench setup. If bad, you can usually trade it to them with some money for a rebuilt starter. If the car has not been run for months, even a new starter ma...
You need to have someone read the codes from the ECM and diagnose the problem. My guess is somthing is causing too much fuel being dumped in and not burning the fuel efficiently. I recommend getting this done ASAP.