08 IS350 doesn't shut off. Multiplex control module issue?
 

Hi, so my is350 won't turn off after starting the engine. It keeps running no matter how much you press the start/stop button. I have to cut the fuel to engine in order to shut it off. Also when I press lock/unlock button on key, nothing happens. I removed the Multiplex control module behind passenger side glove box and keys work!! but engine no longer starts. I was hoping if I replace the multiplex control module, everything will resolve? But it might need reprogramming?? Anyone replaced this part? -
https://i.ebayimg.com/images/g/rd0AA...8Cy/s-l500.jpg

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Or is there other issue that causes this weird issues? Ty

This is some information I found on another thread. Not sure if it will help, or not.

https://www.clublexus.com/forums/is-...n-t-start.html

Diagram from the ES. It should be the same set up for the ISX50.

https://cimg1.ibsrv.net/gimg/www.clu...9db177b253.png