I'm sorry, but you really don't understand how working with the media works. You seem stuck on this idea that earned media has to be positive. It doesn't have to be, and it won't always be. If you expect it all to be positive, you will be disappointed and burn many bridges with journalists.
When you get negative coverage, accept it as the other side of the earned media coin. It is more effective than advertising because it has the potential to be negative. If there was never negative coverage, earned media wouldn't be worth pursuing. And, if you dig into the negative coverage, you'll often learn a lot from it. So, when you get negative coverage, email the journalist, thank them for writing about you, reaffirm that you're always available to talk, and then ignore it.
If an outlet has a history of attacking you, consider why they are attacking you and if the attacks have merit. If it's because you've been difficult in the past, you need to find a good PR person and get some media training in a hurry. You specifically want a PR person who entered the field through journalism, not marketing. Your PR person will be to work with the initial storm. If you caused the mess, you likely need to be hands off during this stage. And then, you need media training so that you don't offend a media outlet again.
It sounds like you have a rough time with media. Do you use the word 'exclusive'? If so, are you sure that you know what it means? Aside from lying, or being evasive, the best way to offend an outlet is to misuse the word.
Retractions don't happen very often, and unless you have very serious evidence, they aren't even worth going for. In the absence of serious evidence, a crafty editor will use your quest for a retraction as an excuse to keep writing about you. The goal is always to get them to stop writing, not give them reason to write more.
And frankly, publications will always write things that are technically true without adding any context. Never assume that this is because of malice because truth is, they likely don't care enough to be malicious. The sooner you get over this idea of a big, bad malicious media, the sooner you will learn how to work with them.