This should be:
$TARGET_EMAIL = array(EMAIL_NAME,^me@myDomainName\.com$);
if you only want to allow mail to that specific address . . . OR . . .
$TARGET_EMAIL = array("^me@myDomainName\.com$");
if you want to allow mail to ANY address at myDomainName.com.
$TARGET_EMAIL = array(EMAIL_NAME."@myDomainName\.com$");
Also, v8.05 is correct. It should be a period in the $TARGET_EMAIL setting when concatenating (joining) EMAIL_NAME with your domain name. Maybe you're confusing it with the define(EMAIL_NAME ...) setting.