AJAX Filters Form Submit Issue for WordPress Search, Login/Register Redirects and Pagination for WP Query in WooCommerce Endpoint

I created a custom AJAX search following Misha Rudrastyh tutorial:
https://rudrastyh.com/wordpress/ajax-post-filters.html

I do not know how I can make the radio buttons on-click to submit the form properly.

Here is the website link (search query):
https://bit.ly/3LE9dcx

Here is the JS file and you can see how I am submitting the form with the radio buttons not just the apply filters button:
https://bit.ly/3tZANeh

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I followed this tutorial on how to create custom login, register, and password reset shortcode:
https://bit.ly/3j0gTcR

I disabled the redirect functions since they are 404. I believe there must have been an update that is causing the custom redirects and error handling not to work.

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Last but not least, I was needing to figure out how to create numbered pagination for a custom
wp-query in a custom WooCommerce endpoint. If you create an account on the site you will see that there are custom endpoints for Liked and Bookmarked posts so I have more than one query.

I think there should not be anything special since the queries are in custom WooCommerce endpoints I just need to figure out how to create pagination on a page with multiple queries.

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These three tasks should be nothing for a WordPress developer with good jQuery skills.