I don't know where you get that impression from but take the word of someone who has read alot more Marx than you, you're wrong.
I don't think you know what his "philosophy" was, do you? His philosophy was Dialectical Materialism so I don't know how you could describe it as "working" or "not working."
Which is only true of the last 400 years or so.
No, in the first societies property was communaly owned. You seem to have introduced a new "concept" here which wasn't in your definition, this wishy-washy "working for themselves" rhetoric.
well aren't you quite the philosopher, I think you'll find that socio-economic systems a little more complex than that.
You didn't though.