Hash hasła zwraca fałsz

Spójrz na swoje zapytanie jeszcze raz:

SELECT password FROM users WHERE email = :email

Wybierasz hasło do kolumny,

kiedy pobierasz wiersz, używasz pola hash

$_SESSION['hash'] = $row1['hash'];

W przeciwieństwie do ciebie, twój skrypt wcale nie jest prosty, wykonujesz 3 zapytania na tym samym rekordzie, wypróbuj to podejście

$email = $_POST['email'];
$pass = $_POST['password'];

if($email === ''){
    $_SESSION['message1'] = 'Enter a valid email';
    header('Location: index.php');
    exit();
}

if($pass === ''){
    $_SESSION['message1'] = 'Enter a valid password';
    header('Location: index.php');
    exit();
}

$query = 'SELECT name, email, password 
          FROM users 
          WHERE email = :email LIMIT 1';


$stmt = $con->prepare($query);
$stmt->bindValue(':email', $email);
$stmt->execute();
$row = $stmt->fetch(PDO::FETCH_ASSOC);

if(!$row){
    $_SESSION['message1'] = 'User does not exist';
    header('Location: index.php');
    exit();
}

//hashed password from Database
$hash = $row['password'];

if(password_verify($pass, $hash)){
    $_SESSION['hash'] = $row['password'];
    $_SESSION['name'] = $row['name'];
    $_SESSION['email'] = $row['email'];
    header('Location: profile.php');
}else{
    $_SESSION['message1'] = 'Make sure email and password are correct';
    header('Location: index.php');
    exit();
}