Favourite member: Don Henley
Favourite song: Wow, well I love "Desperado", though "There's a train leaves here this morning" is great, and I absolutely love some of the stuff off "Long road out of Eden", like "Waiting in the weeds", the title and the incomparable "No more walks in the woods" (instruments? We don' need no steenking instruments!), then of course there's "Lyin' eyes", "Take it to the limit", the wonderful instrumental "Journey of the sorcerer" (which was used as the theme for the TV series "The hitch-hiker's guide to the galaxy"), all of Hotel California.... nah, impossible to choose. Ask me another question.
Favourite album you say? I think maybe, for sheer (making up words now) comebackability, "Long road of out Eden", though it's a close run thing between that and "Hotel California". And "Desperado".
I'm going to stop writing now...