Well, as I mentioned above it's not simple. I believe in fairly weak rights to inheritance. Fair enough that parents would seek a modest degree of security and opportunity for their children. However, the current system where some people are born with more wealth than the general population can ever hope to attain, is plainly unjust. I don't believe your parents can 'earn' your money for you - ideally the children of the rich should have to prove their worth like everyone else, and be given the opportunity to fail. Of course the game will never be fair - but I'd prefer to push it in that direction.
Being given large amounts of money is no garuantee of success. How can the parents giving the money that they own to their children be unjust? Unequal, sure, but no ones rights were violated in the transfer. Every suggestion for 'pushing the game in a fair direction' I've ever heard involved a violation of a person's rights.
Who are you, or who is the state for that matter, to dictate what gifts may be given? Very totalitarian of you.
I don't believe in rights to unearned property.