You can use the standard string translation process
set your menu option name in admin-> menu in English
set the user module title in the admin -> modules panel in English
add in lang/your_language/language.php, the list on translations
But the URLs will not be translated. English should be the reference language, the same way it is the Smarty templates.
Check language and show alternate menu
The best way to do this is using the Module menu and set the Language parameter in Module Settings Parameters to display the menu when you select a language for the current session. You will need one menu for each language on your website.
Alternatively you can add the following script in Site Identity: