Resolution
Fixed! Long post to recap what I did (with this board's help) for the next person who feels compelled to utter profanities when the fix that should work doesn't work.
Vehicle: 2006 LR3, SE, No navigation, stock mud tires, steel bumper with winch on front, and Johnson rods added.
Problem: vehicle lowered while driving with red EAS warning light and associated messaged (no programs, do not drive over 35 MPH).
Culprits: Low battery, brake switch, Johnson rods placing a sensor out of range when vehicle lowered to bumpers--would not allow warning fault to clear.
Discussion:
Following the troubleshooting tree offered on these pages, I checked battery...it was weak, so I changed it out. Fault did not clear.
We the checked brake lights...upper light came on, but main brake lights did not once after six or seven times testing (intermittent). I changed the brake switch. Excellent video on you tube...search change LR3 brake switch. Cost was $70 at a LR dealer...$45 at British Atlantic. Disconnected the neutral battery terminal for five minutes to clear codes.
That should have fixed it, but red EAS warning light stayed on. Vehicle remained on the bumpers. Add profanities here.
I purchased a LR3 specific code reader software from RSW solutions for less than $200 (again, go to you tube). Worked great (pay attention to instructions on how to load the right software driver for the USB OBE II port reader to operate correctly).
When I read the vehicle codes, it appeared communication was lost with three height sensors (LR, RR, LR height sensors were failed...I did not believe that was likely). I tried to clear the fault with the reader. It would clear for 3 seconds, but re-status immediately (i.e., hard fail).
This forum asked the right question--what else have you done to the truck? Bigger tires? Anything else?
Bigger tires would have led to the left front wheel well to check that harness was not broken. I had stock tires and it was fine.
I did have Johnson rods, that led me to a question of whether the sensors were broken or simply extended beyond the range the sensors could detect the correct position.
Advice gained here was helpful again. Look for a single failed sensor.
I disconnected Johnson rod from RF sensor and moved the sensing arm to mid-range. I then turned on the accessory switch to allow the EAS to self test and got a YELLOW EAS caution light (yellow means the compressor will work). I started the vehicle and the compressor started with associated message that vehicle was in extension mode--that makes sense with the Johnson rod disconnected. It also meant RF sensor was working.
I allowed the vehicle to charge the air tank, turned off the truck and reattached the RF Johnson rod. I restarted the truck, selected normal and the vehicle rose. I cycled the vehicle through all heights...worked fine. I cleared the EAS faults with the computer.
Everyone is happy, especially my son who has his car back and dad who didn't have to tow it to a LR dealer 90 miles away.
Thank you for the help! This car has been really fun. Only three problems before. At four years old, we had to reprogram the transmission ECU after the last battery change (hard shifting); we had a stopped up air dryer; and degradation/failure of the plastic anti freeze vent. Nothing since. Add the brake switch and weak battery, and all are well known problems on LR3s which are well documented as to do-it-yourself repairs.