ติดปัญหาการใช้ WHERE แก้ไม่ได้สักที รบกวนช่วยชี้แนะหน่อยครับ

//$_GET["Name"]
//$_GET["Month"]
$date = '2017-08-04';
$dateStart = date("y-m-01", strtotime($date));
$start = date("Y-m-d", strtotime($dateStart));
$end = date("Y-m-d", strtotime($dateStart. '+ 1 month - 1 day') );

$sql = "SELECT * FROM db WHERE (Name LIKE '%".$_GET["Name"]."%' AND (dmy BETWEEN '".$start."' AND '".$end."')";

echo "start date : ".$start."<br>";
echo "end date : ".$end."<br>";
echo $sql;

<?php
if($_GET["Name"]!="Month" )
	{
	$objConnect = mysql_connect("localhost","","") or die("Error Connect to Database");
	$objDB = mysql_select_db("");
	$strSQL = "SELECT * FROM db WHERE (Name LIKE '%".$_GET["Name"]."%' and dmy where MONTH(dmy) LIKE '%".$_GET["Month"]."%')";
	$objQuery = mysql_query($strSQL) or die ("Error Query [".$strSQL."]");
	?>

$StrName = $_GET["Name"];
$M1 = $_GET["Month"];
//$M1 = '2017-08-01';

$strSQL = "SELECT * FROM db WHERE (Name LIKE '%".$StrName ."%') AND (MONTH(dmy) = MONTH('".$M1."'))";