The table displaying the import logs has been moved from being displayed when the importer running, due to issues with slowing down the browser on large imports, and in turn speeding up imports.
You can now see the status of each record after it has imported buy clicking on the history tab of the importer. The first table should show all the imports that have ran, and you can then click on view to see each record.
There should hopefully be an error messages displayed on each record explaining why it has not been imported.
I have never used Toolset Types CPT, but i expect that it should register post types like every other plugin, so in theory it should work (let me know if you are still having issues and i will test this plugina gains the plugin).