One of the aims of mediation is to gradually understand that this self is really an illusion, hence there are in fact no problems and no history. Past does not really define who you are, and problems are only problems if you think reality should be different that what it currently is the moment you experience it (which is of course totally impossible. What you can do is alter the future though.)
Now don't get me wrong this self is in fact a very useful interface for interacting with others, etc. The problem is believing this interface, or layer we add on top on experiences really is us, while it's really just a useful concept to navigate the world.
We are all mostly a bunch of habits: this stimuli gives this response because we trained our mind to function this way, were raised that way, live within country X, etc. It's all just mind formatting. Meditation aims to discover this for yourself, which should leads you to train in developing new, more wholesome habits, which will make you and others suffer less. Then since you are mostly habits, you gradually change, and become much saner as times goes by. Saner because you're living more in adequation with reality.
So in a way, psychotherapy can be seen as a dead end for someone who practices meditation. Although it certainly has its uses, even for very advanced meditators who can also develop blind spots without seeing them (more work needed, but psychotherapy can be a useful mirror there).