You could do one of two ways:
The way you are trying using:
$row = mysql_fetch_array($result);
if(count($row)>0){
}
If you go this route then you are retrieving all of the information from that row, when all that you need is to know if the user is in the db or not.
an easier way would be to eliminate:: $row = mysql_fetch_array($result);
and just test the number of rows:
$result = mysql_query($select_user_query, $con) or die("select_user_query failed : " . mysql_error());
if( mysql_num_rows($result) > 0 ){
//success
}else{
//fail
}
Additionally you should use a LIMIT in your sql statement:
SELECT * FROM Users WHERE EmailAddress ='$_POST[email]' and Password = '$_POST[password]' LIMIT 1
Don't forget to escape your $_POST variables. Especially in your users table.
Hope this helps.