Now, it works on Apache2, but Apache1 shows "The document has moved here". ...

Is your CGI::Application application running from a .cgi or under mod_perl?

Maybe you need -nph => 1 header option?

What is the raw output of run_mode_xxx ? Basic debugging checklist , brian's Guide to Solving Any Perl Problem, CGI Help Guide , Troubleshooting Perl CGI scripts

Maybe you have some kind of mod_ something filter or something installed, or maybe its just your browser being clever