I think I found the problem. It is not the unlink code that is deleting the file, but the create code that is modifying it:
$vDelQC = "/home/everycar/public_html/deq/".$vQCDate.".php";
$vCreateDelQC = fopen($vDelQC, 'w') or die("can't open file");
fclose($vCreateDelQC);
How do I set modify the above code to say "If this file does not exist then create the new file"?