Going back to the basics
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Reducing socialism to a list of check marks is undialectical. Socialism is a historical epoch, which starts with the dictatorship of the proletariat and ends with the the withering away of class society. The conditions that OP states are not end goals or "socialism", but mesures that can be used to the abolishment of burgeoise power and exchange value, they are not socialism in itself. Reducing socialism to mere nationalization of the economy is a fundamental misanderstanding of the issue.
You can't have socialism with private property.
Stfu academic snowflake
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That's like saying a concert ticket is foundational to capitalism. Like how would that even happen if whatever remuneration is used is non-transferable, can't be used for hiring labour, can't be used to control MOP and are only used for consumer goods?
Non-transferability kills the black market.
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