Using sendmail from bash script for multiple recipients
Use option -t for sendmail.
in your case - echo -e $mail | /usr/sbin/sendmail -t
and add yout Recepient list to message itself like To: someone@somewhere.com someother@nowhere.com
right after the line From:.....
-t
option means - Read message for recipients. To:, Cc:, and Bcc: lines will be scanned for recipient addresses. The Bcc: line will be deleted before transmission.