The usage of presumptuous/presumptuousness is fine in all four sentences. The second sentence has a spelling typo. I find even in the third example to be a bit awkward.
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CliveHi,I wouldn't think the context has to be within the sentence in order to use the word, would you, Clive?
To me, the use of the word requires a context in which it is apparent why the person is presumptuous.