Videos not workingon my iPad.

Try the following ...

There is apparently some weirdness going on between the Videos and iPod apps which can result in what you're seeing. The fix or, rather, the most common fix, is non-intuitive but does seem to work in a lot of cases. Click on the link below to learn the secret moves .....

http://discussions.apple.com/messageview.jspa?messageID=12869336&stqc=true

If it doesn't work, try to force quit the Videos app from Recents — double tap Home, tap any icon to wiggle them, press the deletion button on Videos, then tap anywhere up above the tray, or Home, to get back to normal display.
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Well, first I'd get rid of the video that keeps crashing, either permanently or at least a new copy downloaded. See what happens after that

Yes, you will have to buy the video again if you delete it from both your iPad and your computer.

The most obvious thing that I'd do is talk to iTunes who, after some hemming and hawing, will allow you to try another clean download at no charge.

To be clear, when I way 'talk to iTunes' it mean to them, through the app or their support pages, and not here.