Welcome to 2CarPros.
The clicking you hear sounds like the park interlock releasing when you press the brake. Will the vehicle start in any other gear? For example, will is start in neutral?
Based on what you are telling me, it sounds like the transmission range sensor has failed.
DESCRIPTION
Picture 1
The Transmission Range Sensor (TRS) (1) is mounted to the top of the valve body inside the transaxle and can only be serviced by removing the valve body. The electrical connector extends through the transaxle case.
The Transmission Range Sensor (TRS) has four switch contacts that monitor shift lever position and send the information to the PCM/TCM.
Picture 2
The TRS (1)also has an integrated temperature sensor (thermistor) (2) that communicates transaxle temperature to the TCM and PCM.
Picture 3 is a diagnostic flow chart related to the starter not engaging.
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I have to ask, did this issue start since the shift solenoids were replaced? Have you checked the linkage to the range sensor and confirm the adjustment is correct? If you just did work on the transmission, it could be something as simple as adjustment or the plug on the range sensor is not properly installed.
If you look at picture 4, it shows the location of the sensor. Confirm it is properly connected.
Let me know what you find. I also need to know how this came to be. I don't want to arbitrarily have you replace the sensor because you need to remove the valve body to access it.
Take care,
Joe
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Thursday, April 4th, 2019 AT 6:13 PM