Sure does. Stormbreaker becomes an important part of Thor's arsenal in the comics. It gives him additional strength and abilities to face various threats.
In the comics, Thor does keep Stormbreaker. It's a significant part of his arsenal and plays a crucial role in various storylines. Sometimes he might lose it temporarily, but he usually gets it back.
Definitely. The movie incorporates elements and characters from Thor-related comics to create its plot and action. Some scenes and story arcs may have been adapted and reimagined for the big screen, but the comic roots are evident.