It looks like the MySQLi conversion didn't update all of the references to MySQLi on the page.
Every time you have: <?php echo $row_rsSearch['YourColumnName']; ?>
It should be: <?php echo $rsSearch->getColumnVal('YourColumnName'); ?>
Usually that update is done automatically when you update the recordset, so I'm not sure why it didn't work properly this time.
It also didn't update the first row, last row, total rows text and didn't remove the free_result() reference on the page. These can be updated manually at this point by re-adding them from the MySQLi server behaviors and removing the old code. You can also delete lines 19-53.
You can make those changes manually at this point, or if you have the original version of this page and update the recordset all of these should be updated automatically as well.