Yes and no. Yes in the sense that not everyone agrees as to what should belong to whom, but no in the sense that the actual act that took place (taking something) did occur. So the argument is really about whether the act of taking something was legitimate or illegitimate.
Yes, this sort of thing can and does happen. No solution - libertarian, communist, or otherwise - will please everyone all the time.
That is a matter for law. Libertarians have their concept of what law ought to be, and many libertarians also recognize that having a monopoly on law is one of the worst methods for reaching their ideal. If you haven’t already read these, I highly recommend that you read What Law Is and A Praxeological Account of Law by Clayton, and Crusoe, Morality, and Axiomatic Libertarianism by Nielsio.