Do not have even a click from the starter but can tap and it starts up

Hello,

The best option would be to replace the complete starter.
Also, some of these vehicles it is difficult to find just solenoid.

Since the Starlet is not sold in the United States, we don't have access to the repair manual for complete instructions.

Here are a couple of helpful guides.

https://www.2carpros.com/articles/how-a-starter-and-solenoid-works
https://www.2carpros.com/articles/how-to-replace-a-starter-motor

Let me know of any questions.
Thank you.