Using mysql_fetch_array()'s default arguments, your SQL query returns both an indexed and associative array entry for each row. 
Firstly, I strongly suggest that you stay away from mysql_* style functions. This set of tools has been deprecated for a while now, and is no longer being updated. There's plenty of resources online which explain why in more detail, and some good alternatives. Alas, let's move on.
Next, I advise that (if you need to use this function) you use one return format method or the other, by passing either MYSQL_ASSOC (associative array) or MYSQL_NUM (numbered array) into the function as it's second argument.
E.g. MYSQL_ASSOC will give you:
Array
(
    [title] => bbbbbb
    [id] => 86
    [subject] => rewr
    [date_time] => 0000-00-00
    [username] => admin
)
Generally, this is favored above a numbered array because you don't have to rely on the order that you have selected your columns in within your query.
E.g. MYSQL_NUM will give you:
Array (
    [0] =>aaaaaaa
    [1] => 86
    [2] => rewr
    [3] => 0000-00-00
    [4] => admin
)
Right. Now, to edit the array in your while loop, you can just add the following lines:
// Using MYSQL_ASSOC
while ( $aRow = mysql_fetch_array( $rResult , MYSQL_ASSOC ) ) {
    $aRow['date_time'] = '2010-01-01';
    $aRow['status'] = 'edited'; // Whatever key this column should be needs to be added instead of 'status'
    $output['aaData'][] = $aRow;
}
Or:
// Using MYSQL_NUM
while ( $aRow = mysql_fetch_array( $rResult , MYSQL_NUM ) ) {
    $aRow[3] = '2010-01-01';
    $aRow[6] = 'edited';
    $output['aaData'][] = $aRow;
}
If you still want to stick with both, you'll need to use the lines from both examples:
// Using DEFAULT / MYSQL_BOTH
while ( $aRow = mysql_fetch_array( $rResult ) ) {
    $aRow['date_time'] = '2010-01-01';
    $aRow[3] = '2010-01-01';
    $aRow['status'] = 'edited'; // Whatever key this column should be needs to be added instead of 'status'
    $aRow[6] = 'edited';
    $output['aaData'][] = $aRow;
}