Well, Bitcoin is definitely solving the problem of governments and banks taking money's value away from the people by infinitely printing more money, basically stealing money from their own people in a way...
I would say this is in process. It can be considered a bit solved once we jump on the Bitcoin standard. Printing money is always a scam, there is no justification for it..
More work has to be done, Bitcoin alone will not be able to handle it.
Yeah, it is a wider problem that comes from capitalism but also society. If people were not this greedy and evil, the inequality would never be able to become this huge even if there were no laws to help with redistribution. I don't think that society is evolving fast, so we are likely to see last Bitcoin mined before we see inequality fixed.