Unfortunate title here - British Aerospace was involved in the project some years ago, but Reaction Engines is a distinct company and I believe they exist despite BAe's "assistance"
Indeed. The capitalisation was what threw me originally, but I understand that the title isn't wrong - hence the use of "unfortunate" rather than "incorrect".
BA is British Airways. BAE Systems is the new name for what used to be British Aerospace, which used BAe as its abbreviation, to avoid confusion with BA.
I don't know why it bothers me, but I really dislike the used-to-be-an-acronym-but-not-any-more names. For example SRI (not affiliated with Stanford so the S doesn't mean that any more), and my least favourite "HRL Laboratories" which we have to pretend does not expand to "Hughes Research Laboratories Laboratories". Yuk.