Thank you Paul! I guess it patience is what is needed. But also, I would like to be prepared and help google to decide on which menu-items to display as sitelinks.
As I understand it, the reason for the confusion between the site-links from the old and the new site on the domain is that google does not see the new site as a completely new site. It just see change. It has kept some of the old information and registered some of the new. So I guess the follow up question is this. Is it right that the search engine robots are quick to register new content (say posts and pages) and slower to register changes in the architecture of a site?
plovsky