<input type="checkbox" checked="checked" id="checkbox" name="checkbox" value=""/>
remove value tag from checkbox so you can check like below
$checkbox = (isset($_POST['checkbox']))?$_POST['checkbox']:'';
$message = '';
$message .= <<<TEXT
First Name:
{$_POST['name']}
Last Name:
{$_POST['lastname']}
Email:
{$_POST['email']}
Phone:
{$_POST['phone']}
Accept:
{$checkbox}
{$checkString}
TEXT;