Micra K12 interior lock light on + dash warning light

Hello, this is my first post here, I hope I’m posting in the correct category.

My Micra K12’s little interior lock button (the one located near the handbrake, and which is used to lock yourself in the car so no one can get in) light turns on and stays on after I lock the car from the outside. I checked half hour later and the lock button was still lighted. Has anyone else dealt with this problem?

Also, not to open another thread, the keyless ignition I never knew the car had (until today), car turns on without key, works great, but when turn it off a little red warning light is displayed in the right side of the dashboard. I think it says “lock” something. I don’t know how I did it but finally managed to get rid of it. I believe I played with that little button under the ignition switch that made it turn off. What could that be?

Thank you all for your help.

Have a great day.
Ps- this is the warning light
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Was able to find this, still don’t understand why this light comes on after shutting off engine (no key in knob). When I’m using the key no light comes on.
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