I went back to the old site, deactivated BWS and made a new backup.
I then ftp'd into my new website, deleted all the file, deleted the database, recreated the database and then ran the BackupBuddy import and still didn't work.
Checked the htaccess file on the new website and I had forgotten to delete that one ( duh ). Deleted it and logged in to my newly migrated website. Woohoo.
First thing I did on the new website was download and reactive Better WP Security. All running smoothly. Hope this helps someone else ....