On your demo site the Imports drop down doesn’t have any menu items in to (Posts, Pages, etc.). I am also using the free plugin where your demo site looks like the premium one.
Here is a sample of data.
IID,DOI,Headline,Copy,Active,Author
4274,07/09/14 12:00 AM,Article Title 1,”Test content number 1“,1,5
4275,07/09/14 12:00 AM,Article Title 2,”This is test content number two“,1,8
When I import it with “No. of posts/rows per server request” to 2 I get two Post entries called Article Title 1.