Unfortunately, of the languages you listed, the API only supports translating to and from Hindi. Here is the full list of supported languages:
http://code.google.com/apis/language/translate/v2/using_rest.html#language-params
In addition, while the libraries to use the API are open source (read the documentation for details), the service itself will be moving to a paid model on 1 December. Pricing details are here:
http://code.google.com/apis/language/translate/v2/pricing.html
To signup for the service and enable billing, use the API console:
http://code.google.com/apis/console
Jg