I watched this episode on the History Channel and found it to be fairly, historically accurate. I for one, will be the first to admit that I don't trust television to be a reliable source of accurate information but, in the case of this series, it is taken from first hand accounts of people who were there. The idea is to read various accounts, or get information from various sources, to help complete the overall picture. Even a Captain from one of the ships will not be able to give an account from every commander's perspective. That is, even he won't know what happened during each phase of the engagement except that which involved his own ship. He may have an idea of what transpires with the other ships but, not every detail. Plus, this is the series "Dogfight" and is dealing with the heroics of specific individual pilots. I rather enjoyed watching it. It certainly isn't rubbish.
As in all television, a certain level of drama was added to make it more appealing to those who are less historically interested.