How can I insert a record into a custom table from my custom form in my custom admin page?

Use the admin-post action hook to intercept POST requests and process forms. The admin_url() function can be used to output the correct URL, and use wp_redirect() to redirect back to your plugin page after processing.

And do yourself and your users a favor- don’t reinvent wheels and add tables when the native tables and API can be used.

Hata!: SQLSTATE[HY000] [1045] Access denied for user 'divattrend_liink'@'localhost' (using password: YES)