Details of this iRedMail installation.....

Awstats:
    * Configuration files:
        - /usr/local/www/awstats/cgi-bin
        - /usr/local/www/awstats/cgi-bin/awstats.web.conf
        - /usr/local/www/awstats/cgi-bin/awstats.smtp.conf
        - /usr/local/etc/apache24/Includes/awstats.conf
    * Login account:
        - Username: postmaster@test.km, password: 123
    * URL:
        - https://test.ua/awstats/awstats.pl
        - https://test.ua/awstats/awstats.pl?config=web
        - https://test.ua/awstats/awstats.pl?config=smtp
    * Crontab job:
        shell> crontab -l root

The password is correct! it from the message that is generated after installation!!!
- Username: postmaster@test.km, password: 123.  I think the problem in the authentication mechanism.

No!
When trying to run awstats ...
Unauthorized
This server could not verify that you are authorized to access the document requested. Either you supplied the wrong credentials (e.g., bad password), or your browser doesn't understand how to supply the credentials required.

/usr/local/etc/apache24/Includes/awstats.conf

DBDriver mysql
# Important note: use 'pass=' for MySQL, 'password=' for PostgreSQL.
DBDParams "host=127.0.0.1 port=3306 dbname=vmail user=vmail pass=DJ28uqQzk7cgzV1QbWNTFR5y51hBna"

<Directory /usr/local/www/awstats/cgi-bin>
    DirectoryIndex awstats.pl
    Options ExecCGI

    AuthType Basic
    AuthName "Authentication required"
    AuthBasicProvider dbd
    AuthDBDUserPWQuery "SELECT password FROM mailbox WHERE username = %s AND isglobaladmin=1 LIMIT 1"

    Require valid-user
</Directory>

I reset password to MD5, in file /usr/local/etc/apache24/Includes/awstats.conf
DBDParams "host=127.0.0.1 port=3306 dbname=vmail user=vmail pass=202cb962ac59075b964b07152d234b70 #/MD5/
don't works!

I'm stupid tell me how to do it!

as a result I got!

#!/usr/local/bin/perl
#------------------------------------------------------------------------------
# Free realtime web server logfile analyzer to show advanced web statistics.
# Works from command line or as a CGI. You must use this script as often as
# necessary from your scheduler to update your statistics and from command
# line or a browser to read report results.
# See AWStats documentation (in docs/ directory) for all setup instructions.
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
#------------------------------------------------------------------------------
require 5.007;

#$|=1;
#use warnings;        # Must be used in test mode only. This reduce a little process speed
#use diagnostics;    # Must be used in test mode only. This reduce a lot of process speed
use strict;
no strict "refs";
use Time::Local
  ; # use Time::Local 'timelocal_nocheck' is faster but not supported by all Time::Local modules
use Socket;
use Encode;
use File::Spec;..............