Is it possible (I'm sure it must be) for a copy of the same email to be sent to the person who has just filled in the form?

$headers .= "Cc: $email\r\n";

Not a big deal, but if you want to hide the fact the email was copied to someone else, you can do the following:

$headers .= "Bcc: $email\r\n";

copy from Habtom 's post