1. change sensors now. If you do not, you do not know if you just brake on the iron to iron and no brake material is left. For your own safety.
2. Common problem. Do a search for LKM resoldering, CCM resoldering, mustard relay resoldering. A lot of info. For example on my website under e32fixes.com.
Brake light: also check the brake switch under the brake pedal. Repair info on Gale's page on my website.
3. Open the lid and use a flashlight to see inside the level switch. The lower part of the level switch should float and have contact. If it hands down, there is water in the float and you have to replace it. That is the usual prob. Or the wires are broken. But that you can easily check: just bridge the 2 connectors for the sensor and the alarm should go away.
For suppliers search for BMW online vendor list on search on top of this page.
4. either coolant level too low or see item 3. Sensor.
Do a search here for online spare parts catalog or online ETK. There input your VIN and you will find where the sensor is located.
Bookmark that page.
5. See my website under EDC/Niveauregulierung and thereunder adjustment of ride level. Maybe just the ride height has to be adjusted.
6.LAD is only at the rear. The pump works always, as it is a dual pump which also works for the power steering. You will hear nothing on the LAD function and adjustment.
Check all sus parts and the brake pads. See un my page under Bruno's page, section suspension.
7. Check the sensors if they are clean on the wheels. What is the battery voltage and the charging voltage? If that goes for 90 seconds under 11.6V, you will get such fault warning.
Take you time and read thru my website. The mainpage is German, but most of the links are English language.