"fix the news" doesn't sounds very natural to me.
Correct sounds like a much appropriate choice. Correct is used when something that is WRONG is changed to become RIGHT.
- All newspapers should verify their sources and correct their mistakes.
Fix is used more when an object (bike, car, etc) is in a bad state (ie, broken, not working, bad condition) and it is improved.
- I need to fix my bike (the bike is broken)
News cannot be broken or not working. It's simply not telling the truth.
I hope this helps you!