For the door ajar warning, see:
What makes you think that the Check Engine light is a false indication? Take
your vehicle to say, an AutoZone to get the engine codes pulled, for free.
Additionally, the door ajar light will be a stuck switch.... while it mat
"seem" like a false indication (whatever that is), it is the sign of a real
problem (i.e., a faulty switch).
One could always remove the bulbs and live in blissfull ignorance.
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