The logs for cron are not configured in syslog – however, if you enable remote syslog, and tell it to send "everything" it will also forward the logs for cron to a remote box where you can see them.
In a cron script, always make sure you use the full path to every command - even date, cp, rm, etc. That or at the start of the script, set your own PATH variable to include the directories where the binaries you need lie.