Yes. Catwoman is considered a comic book hero. She often shows bravery, determination, and a sense of justice in her various comic book appearances, despite her sometimes morally ambiguous actions.
Black Adam is indeed a comic book hero. He's known for his strength and determination. In the comics, he's faced various challenges and has had his share of both heroic and controversial moments.
Not that I'm aware of. Usually, well-known comic book heroes have more widespread recognition, and Shade doesn't ring a bell for me. But there are countless comics out there, so it's possible it exists in a less mainstream one.