Sorry to hear you're running into troubles. I'm not exactly what fields you're having trouble importing. I'm assuming it's "Basic Info - Summary" for 'summary'. What field were you trying to use for 'experience information'?
Have you tried using our demo site to see if the right information is imported there? We don't have it setup to import every field, but the "Basic Info - Summary" field from LinkedIn should show up in your "Summary" field of either JomSocial or Community Builder. If it doesn't show there, let us know.
Finally, if you're still having issues, let us know what 3rd party extension you're importing the information into.
Thanks,
Alex