You already use the right code and also send information using the post header. The information you already send is id and passwd.

The only thing to make the script work like you want it, is to add the other key/value pairs to the header as shown in the code below.

my $response = $browser->post(
  'https://www.whatever.com/asdf.cgi',
  [
    'id'  => $id,
    'passwd' => $pass,
    'Input_tag_name.x' => 0,
    'Input_tag_name.y' => 0,
  ],
);
[download]

/oliver/