My Park, neutral, reverse, drive display is not lighting up on my 2000 buick lesabre ....neither is my onboard readout where and how do I find the bulb, all other interior lights are working

Try starting it in neutral. It may not be completely in park. Most 2000 lesabre cars have a safety feature, where after you turn the ignition on. You will hear a double beep noise and immediately try to start the engine. If not that, a fuse or starter relay. The relay will be under the hood. If that doesn't work you must have a bad connection from the ignition to the starter.

Thinking there is a rev limiter on that car,designed to work only in park and neutral
Sounds like maybe it's staying on,
My first thought would be the neutral saftey switch on the ******.

I would say that the transmission is either way low on transmission fluid, or needs rebuilt. I would say I agree with the relay, but if the car tries to move, then it is not going to be the relay.

Turn key to accessory position and put car in neutral to start it. Then you can drive it to have the shift solenoid fixed.

Is the check engine light on.. If so lets get the codes and go from there. Autozone provide this as a free sevrice. and they also rent the tool . It could be many things mass air flow sensor ,, Throttle body..Good luck!!!

I wouldn't worry too much about it unless it happens again. It sounds like a valve got a little stuck. It's usually caused by dirty fluid. If it's bothering you I'd recommend replacing the transmission fluid if you haven't already. It can be full of worn or dirty fluid and still not work properly. Its a late model car so i don't think its the clutches. Hope this helps -J

the neutral switch is to prevent the starter from engaging if not in park or neutral - try just bumping the key switch without holding it - the key lock or ignition switch could be keeping power on starter or the starter solenoid could be keeping the starter engaged someone would have to be under the car listening or touching the starter to see this or measuring voltage on solenoid wire

Hi; Seems to or does slip into park?

Hello;
You need to have the linkage adjusted. Over time, the linkage can go out of adjustment. If this is a column shift car the mechanical linkage may have shifted from hitting a bump or such. Hope this helps, let me know if I may be of further assistance.
Thanks;
Rich
RPM Northwest

Simple fix. The shift indicator cable attaches to the shift bowl at the bottom of the steering column. It just clips on the edge of it and can be slid around to adjust. You may have to pull the gear shift down to first gear to see it.