Just another point/thought, if you went with the text as written, then it reads to me as though you've provided a license to the BBC to use your footage on any program they like for ten years (as opposed to the license being confined to just The Program)... So they are now able to use the footage as many times as they wish, in as many programs, in whatever way without ending to chat to you again.
The language looks a bit loose there to me also a few reasons. Some may be custom/language differences from U.K. and U.S., but since you also see issues, probably not. It may also be that the email was more of a general bullet point concept, subject to a more formal document.