In the comics, Hercules doesn't kill Thor. Their encounters are often part of complex storylines with various twists and turns, but not resulting in such a fatal outcome.
Sure. Thor and Hercules have clashed multiple times in different comic series. Their fights often stem from differences in power, ideology, or the circumstances of the story.
One key difference is their origin. Hercules is from Greek mythology, a demigod born from a god and a mortal. Wonder Woman is from the fictional island of Themyscira. Also, their powers are different. Hercules is mainly known for his extreme physical strength. Wonder Woman has super strength too, but also has powers like flight, and the ability to use her Lasso of Truth.