On a 01 740i, the body control module sits behind the glove box. Should be the same on any e38 I'd imagine. Remove the passenger kick panel and you will see it. The LCM is right behind the plastic panel directly to the right of your feet if you were sitting in the passenger seat.
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At this website www.reliable-store.com I found all complete guide,
much better language, complete detail in 800+ pages, and they also have live assistance feature
I would consider the vapor in the engine normal. You will get a little stuff past the rings, and that's what the PCV system (Positive Crankcase Ventilation) is there to keep out of the air.
If you're truly concerned, you can run a compression check to see if your rings have gone bad, but at 105,000 miles, I suspect wear is the answer, and normal.
1. Check coolant level and then do an actual temp check of the coolant once the thermostat has opened your checking to see if it is opening).
(if coolant level was really low, monitor it every day for a week of driving -- need confirm not loosing it inside the engine)
2. Replace fuel filter.
3. Verify fuel pump is working properly.
4. Ensure fuel lines are not touch hot engine/exhaust parts (this percolates the fuel).
5. Run fuel injector cleaner (concentrated for 2 tanks) Use premium gas for one tank.
6. replace spark plugs (first if you have not for some time)
(check spark wires (no more than 50 ohms resistance) Replace if greater)