the rem checkbox:
<input name="rem" type="checkbox" id="rem" <?php if (!(strcmp(((isset($_COOKIE["rem"]))?$_COOKIE["rem"]:""),1))) {echo "checked=\"checked\"";} ?> />
does not have a checked value set:
<input name="rem" type="checkbox" id="rem" value="1" <?php if (!(strcmp(((isset($_COOKIE["rem"]))?$_COOKIE["rem"]:""),1))) {echo "checked=\"checked\"";} ?> />