IANAL but I don't think the trademark is an issue. Might make it a bit hard to search for, though, when "calibre app" is dominated by calibre e-book software.
I thought the same but was not excited, because Calibre is almost completely perfect already. If anybody reading this ever wants to convert ebooks from one format to another, or turn web pages into ebooks, or any such thing, definitely check it out.
IANAL but I don't think the trademark is an issue. Might make it a bit hard to search for, though, when "calibre app" is dominated by calibre e-book software.