Can't get TV show name to display
You will want to check the following fields - they are the ones I see on iOS 6 when I sync a TV show to my iPhone:


Video tab: Show and Season Number
Info tab: Name and Album


The information from the first item (Video tab) is shown in the top level view of the Videos app and the second line (Info tab) gets shown when you drill down to see the episodes that have synced over to the phone. If you sync to an iPad, more details are shown in the video app - but the core 4 items above are shown there as well.