I have to say that I was not a fan of her performance as JJ. While there were some episodes that definitely showed her acting chops, she is not cut out to play a superhero IMO. Most of her actions scenes across the series were painful to watch.
Yes, and lots of heroes do heroic things (though the "he didn't become a villain" thing is pretty... Out of place. Comes across super weird.).
That doesn't mean they are all eligible for the mantle. It's not pure strength, it's not the ability to be a hero, it's the type of hero they are that defines Captain America.