DOOR AJAR for driver side won't go out, therefore , doors won't lock, and dome light stays on until speed reaches 10 MPH. Now the engine light is on. Is this all related to the same problem.......
The door ajar light and the dome light are related, but the check engine light is another problem. The most common failure on the door problem has been the door switch inside the door latch assembly, sometimes you wind up having to replace the entire latch assembly due to wear. The check engine light will turn on when there is a malfunction in the engine control system, a scan of the codes can tell you what systems are in need do repair. Most parts stores can do this for free.
As far as the door ajar light try spraying some WD40 into door latch.
Don't use WD-40 use MAF cleaner, or something that doesn't leave oil. Oil attracts dirt, and dirt is part of what causes the failure in the first place.
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