When you turn the key on, all of the "dashboard" lights should come on, the gauge needles will sweep up and then down, and the fuel pump will turn on and then off. The oil light and neutral light will remain lit, and all the others will go out.
Is your engine-trouble light staying on after the "key on" process I described above?
You may have something going bad with the "dashboard", it would be good to have your dealer look at it.