While I somewhat agree with Devlyn that it doesn't make much sense for Facebook to allow multiple accounts for the same person with different names, I also think Facebook is essentially garbage as both a service and as a company. They don't make it easy to hide your activity or content from certain people and choose who you want to reveal it to, and what little discretion they offer is very easy to breach or accidently use incorrectly. There are also all sorts of privacy violations that people should be a lot more worried about than they usually are.
Unfortunately, Facebook has succeeded in making themselves nearly ubiquitous, so it's extremely difficult to avoid. I try to use my account as little as possible, but I still have to get on it from time to time whenever a group or organization I'm a part of has made the boneheaded decision to only put their information up on Facebook. I've had to use a Facebook account as a required part of college courses before, for example.
My advice? Only use Facebook as a last resort. Try everything in your power to use other resources. Ideally, they'd have some system in place where a single account can discreetly engage in whatever sensitive activities they want without everyone on the friends list knowing. The fact that they don't is one reason why we should try not to use it.