EvaFearless,
You're going to have to take the car to a good independent mechanic who you trust. Lexus can do the same for you, but the end result will be more dollars from your purse.
Give the mechanic the history you gave here, and with a wiring diagram for your year and model ES, he will be able to track down the wiring harness or component in the loop that has shorted out. You've started on the right track to solve the issue, but it requires an expert's help at this point.
If you have a local shop that calls itself similar to "Kitt's Auto Electric" (a business near my location) , that would be a good bet also, as they do mainly electrical systems problems, rather than mechanical, and should get to the source of the problem much quicker, meaning less dollars. Good Luck!