If yes, then the distribution is just. If that is all there is to justice then, of course, Fair Opportunity does not matter nor does the difference principle. The details of Nozick's theory don't matter too much. Let's call the distribution pattern of the society D1. Call this new Distribution, D2.
Any pattern is vulnerable to disruption by people's free actions.
For suppose we decided to maintain a pattern but that some people decided to make a Wilt-like transaction. Then the pattern could only be maintained by either banning the transactions or constantly re-distributing to maintain the pattern. Either course is an infringement on liberty. If that is so, then a respect for liberty is incompatible with patterned conceptions of justice. The upshot then, for Rawls, is that the Liberty Principle is at odds with the Difference Principle.