I''ve heard of the term and your first definition is the same that I heard.
In one instance I heard of a fan-fic in witch the 'Mary-Sue' character tried to get Legolas to become christian because she somehow new better than he about the ways of the universe and all that.
I don't think your characters are 'mary-sue' ish. Did someone tell you that? They're wrong. I thought the term described some 'self-righteous' heroine that could do no wrong.
Even if you created a character after yourself - how could anyone know it is a foil of you? I really thought this applied to fan-fics only.
*Edit* I mean one of my male characters is suppoed to be a lecherous seducer with perfect looks, body and witty personality. It's his nature to be attractive and aticulate. How the hell does that make him a 'marysue' ish character.
I think you're right about the whiners. I make my stories about moderaley attractive and interesting people. When they're not human I make them ideal to their species. There's nothing wrong with that. It's kinda a universal thing.
*2nd Edit*
I read a bit of this test for 'all characters' Some of the things mentioned tend to be things I avoid in stories. Not because it's nessessarily bad ( Japanese names for non-Japanese characters is a pet peeve of mine) But because of my taste in fantasy liturature I find some of the mentioned things ( Common names spelled different, characters who in my opinion are flat and boring but are sooo beautiful the author won't shut-up about it) are just boring.
Some of my characters would be considered very beautiful, but they're not human. And some - it's their nature to be ideal by human standards. But my human characters are fair by comparison, but no less interesting.
I incorporate my political and religious (or lack thereof) position in all my work. I try to work those ideals in and spread them out in my cast. I don't think there is anything wrong with that. I read a book ages ago by a lesbian author 'Gossamer Axe'and one line explaned her feelings on homosexuality. The setting is pre-christian british isle's and one of her characters points out 'two men or two women loving each other wasn't a sin until christians said it was' . Another called book series 'Mystic Rebel' offered up a scene in withc a tibetan Llama is making a speech in modern day America about how over sterilization and medicating is killing modern man. These authors may be expressing their ideals - and I don't think they're 'mary-sue' ish.
I also think a lot of what is mentioned in this so-called quiz are merely 'cliche' and over-used plot points that many readers are tired of seeing. And using some of those aspects can be tricky with such a fickle audience. Once again it's not 'bad' but it can be repetative and boring.
And if I have read this quiz correctly there are some very well accomplished and published authors who break these so called rules over and over.
So in conlcusion some of the things mentioned are just annoying (in my personal opinion) while other points made in the quiz I think are total bullshit.