greater than or equal to don't work & fixing error in if statments

Hi,

I created an events website , I have array contain events ('id','start_date','end_date','result_date') I created 3 HTML tables

1. the first one for started events (today is greater than or equal to start date & today is smaller than or equal to end date )
2. the second one for not started events (today is smaller than start and end date)
3. the last one for end events (today is greater than start and end date) so I created this code

<?php
//set deafault timezone to turkey time zone
date_default_timezone_set("Europe/Istanbul");
//the function sorting function for usort
function build_sorter($key)
{
    return function ($a, $b) use ($key) {
        return strnatcmp($a[$key], $b[$key]);
    };
}
// today (2021-07-02)
$today = date('Y-m-d', time());
echo '<script> console.log("today is :' . date('Y-m-d') . '")</script>';
//sample data
$rows = array(
    [
        'id' => '1',
        'date' => '2020-03-27',
        'date_end' => '2020-05-02',
        'date_res' => '2020-06-02'
    ],
    [
        'id' => '2',
        'date' => '2020-04-27',
        'date_end' => '2020-06-02',
        'date_res' => '2020-08-02'
    ],
    [
        'id' => '3',
        'date' => '2020-06-27',
        'date_end' => '2020-07-02',
        'date_res' => '2020-08-02'
    ],
    [
        'id' => '4',
        'date' => '2021-01-01',
        'date_end' => '2021-02-01',
        'date_res' => '2021-03-01'
    ],
    [
        'id' => '5',
        'date' => '2021-02-01',
        'date_end' => '2021-03-01',
        'date_res' => '2021-04-01'
    ],
    [
        'id' => '6',
        'date' => '2021-05-01',
        'date_end' => '2021-06-01',
        'date_res' => '2021-08-01'
    ],
    [
        'id' => '7',
        'date' => '2021-02-06',
        'date_end' => '2021-01-29',
        'date_res' => '2021-01-29'
    ],
    [
        'id' => '9',
        'date' => '2021-04-27',
        'date_end' => '2021-05-03',
        'date_res' => '2021-05-03'
    ],
    [
        'id' => '10',
        'date' => '2021-02-01',
        'date_end' => '2021-02-06',
        'date_res' => '2021-05-03'
    ],
    [
        'id' => '11',
        'date' => '2021-02-02',
        'date_end' => '2021-02-07',
        'date_res' => '2021-05-05'
    ], [
        'id' => '12',
        'date' => '2021-03-27',
        'date_end' => '2021-02-07',
        'date_res' => '2021-06-02'
    ],
);

?>
<h1>started & didn't end</h1>
<table>
    <thead>
        <tr>
            <td>id</td>
            <td>start date</td>
            <td>end date</td>
            <td>res date</td>
        </tr>
    </thead>
    <tbody>
        <?php
        // > means end
        // < means didn't end
        usort($rows, build_sorter('date_end'));
        foreach ($rows as $row) {
            if ($today < $row['date_end'] && $today >= $row['date']) {
                // started & didn't end
        ?>
                <tr>
                    <td><?php echo $row['id']; ?></td>
                    <td><?php echo $row['date']; ?></td>
                    <td><?php echo $row['date_end']; ?></td>
                    <td><?php echo $row['date_res']; ?></td>
                </tr>
        <?php
            }
        }
        ?>
    </tbody>
</table>
<h1>didn't started & didn't end </h1>
<table>
    <thead>
        <tr>
            <td>id</td>
            <td>start date</td>
            <td>end date</td>
            <td>res date</td>
        </tr>
    </thead>
    <tbody>
        <?php
        usort($rows, build_sorter('date_end'));
        foreach ($rows as $row) {
            if ($today < $row['date_end'] && $today < $row['date']) {
                // didn't started & didn't end 
        ?>
                <tr>
                    <td><?php echo $row['id']; ?></td>
                    <td><?php echo $row['date']; ?></td>
                    <td><?php echo $row['date_end']; ?></td>
                    <td><?php echo $row['date_res']; ?></td>
                </tr>
        <?php
            }
        }
        ?>
    </tbody>
</table>
<h1>started & end </h1>
<table>
    <thead>
        <tr>
            <td>id</td>
            <td>start date</td>
            <td>end date</td>
            <td>res date</td>
        </tr>
    </thead>
    <tbody>
        <?php
        usort($rows, build_sorter('date_res'));
        foreach ($rows as $row) {
            if ($today > $row['date_end'] && $today > $row['date']) {
                //started & end 
        ?>
                <tr>
                    <td><?php echo $row['id']; ?></td>
                    <td><?php echo $row['date']; ?></td>
                    <td><?php echo $row['date_end']; ?></td>
                    <td><?php echo $row['date_res']; ?></td>
                </tr>
        <?php
            }
        }
        ?>
    </tbody>
</table>

my erorr is

some dates don't come to tables , I think the reason that some event had start date equals to today and others got end date equals to today I wrote >= but no thing happened

I know it complex ,

THANKS,

and sorry for the weird english