Steven Zahm@ pam
re: In the module settings (general tab), if I check the option “session user have to be opened to see the page” nothing happens in the frontend. Any visitor can access to the page where I pasted the short code.
Looking at the page, I see the login form. Twice in fact. Make sure to have the [connections_login] shortcode only once.
http://notylia.nc/index.php/annuaire/
re: In front end, the links on the letter don’t work : after click, the page refresh at the top of the page
the url looks like : index.php/annuaire/char/LETTER
the link on the name don’t work : a message appears “nothing found, try a search”
the url looks like : index.php/annuaire/name/firstname-lastname/
This has to do with your permalink structure. To fix, navigate to the WordPress Permalinks settings admin page and remove index.php from your permalink structure. This will fix Connections and make your site have more SEO friendly URLs.
re: How to add custom field ? I need for exemple to register the number of employees for each organization.
See this tutorial on how to add a text custom field.
re: All users must be able to publish their own information
You going to need the Link extension and, optionally, the Form extension.
Hope this helps, let me know.