Interesting.
A file with a cloud next to it means the file is not actually on the iPad, but is available for download. This is the way most previously purchased media should appear, letting you download it again for free.
I don't know why and expired rental would still appear this way, unless iTunes has decided you never got around to downloading and viewing it.
You can turn off this display of cloud available media. For videos go to Settings > Videos and turn off the Show All Videos switch. There are similar switches for the Music and iBooks apps.
If you want your purchased videos to show up, but not the rental, try turning the setting of, visit the app to see if it worked, then turn the settings back on. With a little luck this will purge any videos that should not be there. Otherwise, it might take a call to Apple's iTunes Support to straighten out. iTunes Support, unlike Apple Tech Support, is free.
