Hi, Justagirl. Welcome to the forum.
Everyone's life is going to have some drama from time to time. It just happens: relationships get rocky, loved ones get sick, someone loses a job, etc. And of course, not all drama is bad, either: falling in love is dramatic, so are babies coming, starting a terrific new job, etc.
Drama Queens/Kings have more than other people because they attract it and promote it in their lives. For whatever reason.
The key to identifying a Drama Queen/King is to look at how s/he is dealing with situations and problems. Is s/he working toward solving the problems, or consistently making them worse? Is s/he dealing with and moving past the negative situations and maximizing the positive ones, or is s/he more likely to be "stirring the stink" to keep things exciting?