To add a BCC do as follows:
$headers = 'From: '.$name.' <'.$email.'>' . "\r\n";
$headers .= 'Bcc: '.$bcc_email.'' . "\r\n";
With regards to the image and to include any HTML you need to declare the content type of the email as text/html. Your headers should therefore look as follows:
$headers = 'MIME-Version: 1.0' . "\r\n";
$headers .= 'Content-type: text/html; charset=iso-8859-1' . "\r\n";
$headers .= 'From: '.$name.' <'.$email.'>' . "\r\n";
$headers .= 'Bcc: '.$bcc_email.'' . "\r\n";
Then in the body of the email you can add any HTML tags (including images).
Let me know if you need any more help