Inaccurate news is news based on outdated or incomplete information.
Fake news is fake information passed off as "news", for whatever reason.
Stories, as they are reported, are constantly evolving and changing in the details. For example, in the Uber AV fatality story, news outlets initially reported the driver as a man named Rafael. The driver's actual name is Rafaela, and she is a woman. The news outlets were wrong but they got their info from a police spokesperson.
To continue reporting the story and say that it involves a driver named Rafael would be inaccurate. But the intent is not deliberate or malicious. Fake reporting would be to say Uber's driver was a 12-year old illegal immigrant, and making that fact up out of the blue.
In regards to reporting on public issues and officials, libel law gives First Amendment protection to reporting false information. A defendant is only culpable of libel/slander if gross negligence or actual malice is found: https://www.rcfp.org/category/glossary-terms/actual-malice