Address and phone number should work with the r_contactinfo. Twitter, skills, and URLs should be in the r_fullprofile.
When you made that change and tried to re-authenticate with LinkedIn again, was there a new permissions window? It should ask for more permissions. However, the documentation on this new feature is severly lacking. As you can see in the link I posted above, there's different options like "All or none" and "Re-Auth on Permission changes". However, there isn't information on how to set those options.
As for the birthday field, we'll have to look into that more. That sounds like an issue on our end where we're not parsing out the date they send back properly. What profile plugin are you using? We'll have to test with that one to understand where the problem lies. I'd recommend disabling the birthday field for now while you work through the other issues.
Finally, please note that profile import only occurs in JLinked on new user account registration. If you are simply re-logging in, the new fields won't be imported. Another thing to try is to delete your application from your LinkedIn User's profile. That way, when you re-authenticate, your assured you'll get the permission popup properly. You can delete the app from your profile by going to
www.linkedin.com/settings/ and clicking on "Groups, Companies and Applications" and then "View Applications".
Keep us posted,
Alex