The Chrome type "title and border" does not display the title or border on webparts. The problem is trivially reproduced:
1. Create a new blank site.
2. Add a webpart to it. Not important which one.
3. Change the chrome to title and border.
4. Apply the changes and save.
5. Note the absence of title or border.
Try changing the chrome type to either title or border and they work individually but together they do nothing. I have seen others report this issue of various forums but never a resolution. This worked in 2010 and does not work in 2013. I am using IE 11 but it also didn't work with older versions of IE.