Localizer 5.x-3.0 not functional correctly

I've just installed localizer on a new installation of drupal 5.7. But I found that after I swich language from front page, it always returns a page not found error or run into a 302 infinite redirect loop. Please see the scenario below and see if it helps.
$_GET['q'] = 'zh-hans' (I clicked Chinese, Simplified on the language block from the url http://127.0.0.1/, front page is set to node/1 with a path alias home.

In line 952 of localizer.module, there's a typo:

    return (localizer_get_localize_dpath($_GET['q'], $language) == $front);

it should be localizer_get_localized_path.

In line 802 of localizer.module, I think in your logic, it should be localizer_is_front_page, cause obviously the url http://127.0.0.1/zh-hans is not a front page url if you are using drupal_is_front_page.

    if (variable_get('localizer_frontpage_redirect', TRUE) && localizer_is_front_page()) {

In line 822, I think it should be $_GET['q'], that 'q' is set by drupal but not input by url, so $_REQUEST['q'] is null.

        $language_page = localizer_language_in_path($_REQUEST['q']);

In line 826, there's a line of code causes infinite loop

          if($session_support) {

it should be if(!$session_support) {