You need to use the Apache + CGI/FastCGI or Apache + suPHP option (they are, in fact, the same). These apply to all servers which use CGI or FastCGI to load PHP. Since you're using suPHP your PHP is configured to run as CGI or FastCGI (suPHP can't work otherwise), hence my suggestion.
I try both Apache + CGI/FastCGI & Apache + suPHP Option
Both, I get “Prepend activated” but coming back (after many minutes) bring back the choice “LiteSpeed/Asapi” with a warning —> Admin Tools is correctly setup but the changes have not yet taken effect. If you are using LiteSpeed as your web server or CGI/FastCGI interface, please wait a couple of minutes for the changes to take effect. Please refresh this page to check if the configuration was really applied.
I try LiteSpeed/Asapi and it seem to work, saying:
Admin Tools is now running before any PHP files, granting you the maximum protection.
The hosting support told me that they use —> Litespeed + sulpha technology ???
For the White page with error: It only happen in Safari Version 11.1.2 (11605.3.8.1) — Work perfectly in Firefox Dev edition 63.0b10 (64-bit) ???