Log has only hits from yesterday, I don't know if that should generate stats.
The log file is processed once a night. so thats ok. and the log size is fine too. I guess that your webalizer binary does not generate the correct statistics, as the ouput from the manual run of the webalizer.php is fine.
Have you run your webalizer binary manually and does it produce correct stats for the file /var/www/web1/log/web.log ?