I have resolved the issues with my code. For anyone needing help with this issue, here is my functioning test page:

<?php
error_reporting(E_ALL);
// Connect to the DB
$link = myconnection stuff

$new_depratecat='14'; //for testing


// store in the DB
if(!empty($_POST['ok'])) {
//first delete the records marked for deletion. Why? Because we don't want to process them in the code below
if( !empty($_POST['delete_ids']) and is_array($_POST['delete_ids'])) {
// you can optimize below into a single query, but let's keep it simple and clear for now:
foreach($_POST['delete_ids'] as $id) {
$sql = "DELETE FROM tblRates_balance WHERE id=$id";
$link->query($sql);
}
}

// now, to edit the existing data, we have to select all the records in a variable.
$sql="SELECT * FROM tblRates_balance WHERE depratecat='$new_depratecat' ORDER BY suborder";
$result = $link->query($sql);

// now edit them
while($rates = mysqli_fetch_array($result)) {

// remember how we constructed the field names above? This was with the idea to access the values easy now
$sql = "UPDATE tblRates_balance SET
MinBalance='".$_POST['MinBalance'.$rates['id']]."',
InterestRate='".$_POST['InterestRate'.$rates['id']]."',
APY='".$_POST['APY'.$rates['id']]."',
suborder='".$_POST['suborder'.$rates['id']]."'
WHERE id='$rates[id]'";


$link->query($sql);


}
// (feel free to optimize this so query is executed only when a rate is actually changed)

// adding new

if($_POST['add_MinBalance']!= "") {

//echo ("OKAY");

$sql = "INSERT INTO tblRates_balance (depratecat, MinBalance, InterestRate, APY, suborder) VALUES ('$new_depratecat','".$_POST['add_MinBalance']."', '".$_POST['add_InterestRate']."', '".$_POST['add_APY']."','".$_POST['add_suborder']."' );";

$link->query($sql);

}
}

// select existing rates here
$sql="SELECT * FROM tblRates_balance where depratecat='$new_depratecat' ORDER BY suborder";
$result = $link->query($sql);
?>

<html>
<head>
<title>Example of dynamically adding row and inserting into mySql with jQuery</title>
<meta content="text/html;charset=utf-8" http-equiv="Content-Type">
<meta content="utf-8" http-equiv="encoding">
<script src="//ajax.googleapis.com/ajax/libs/jquery/1.10.2/jquery.min.js"></script>
<script src="//ajax.googleapis.com/ajax/libs/jqueryui/1.10.3/jquery-ui.min.js"></script>

</head>

<body>

<div style="width:90%;margin:auto;">
<h1>Example of dynamically adding row and inserting into mySql with jQuery </h1>

<form method="POST" id="newrate">
<div id="itemRows">

Minimum Balance: <input type="text" name="add_MinBalance" size="30" />
Interest Rate: <input type="text" name="add_InterestRate" />
APY: <input type="text" name="add_APY" />
Order: <input type="text" name="add_suborder" size="2"/>


<< Add data and click on "Save Changes" to insert into db. <br>
You can add a new row and make changes to existing rows all at one time and click on "Save Changes."
New entry row will appear above after saving.

<?php
// Next section does updating. let's assume you have the rate data from the DB in variable called $rates

while($rates = mysqli_fetch_array($result)): ?>
<p id="oldRow<?=$rates['id']?>">
<?php //echo $rates['id']; ?>

Minimum Balance: <input type="text" name="MinBalance<?=$rates['id']?>" value="<?=$rates['MinBalance']?>" />
Interest Rate: <input type="text" name="InterestRate<?=$rates['id']?>" value="<?=$rates['InterestRate']?>" />

APY: <input type="text" name="APY<?=$rates['id']?>" value="<?=$rates['APY']?>" />
Order: <input type="text" name="suborder<?=$rates['id']?>" value="<?=$rates['suborder']?>" />
<input type="checkbox" name="delete_ids[]" value="<?=$rates['id']?>"> Mark to delete</p>
<?php endwhile;?>

</div>

<p><input type="submit" name="ok" value="Save Changes"></p>
</form>

</div>

<script language="Javascript" type="text/javascript">


var rowNum = 0;
function addRow(frm) {
rowNum ++;
var row = '<p id="rowNum'+rowNum+'">Minimum Balance:<input type="text" name="add_MinBalance[]" value="'+frm['add_MinBalance[]'].value+'">Interest Rate:<input type="text" name="add_InterestRate[]" value="'+ frm['add_InterestRate[]'].value +'">APY:<input type="text" name="add_APY[]" value="'+frm['add_APY[]'].value+'">Order:<input type="text" name="add_suborder[]"value="'+ frm['add_suborder[]'].value+'"><input type="button" value="Remove" onclick="removeRow('+rowNum+')(this);"></p>';
jQuery('#itemRows').append(row);
frm['add_MinBalance[]'].value = '';
frm['add_InterestRate[]'].value = '';
frm['add_APY[]'].value = '';
frm['add_suborder[]'].value = '';

}

function removeRow(rnum) {
jQuery('#rowNum'+rnum).remove();
}

//}
</script>

</body>
</html>