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I think in (b) the answer should refer to Spearman's rank correlation
test, not Pearson's. Although calculation of the statistic does not
require any distributional assumptions, for Pearson's correlation
coefficient we need to assume a distribution to obtain the statistical
significance, especially for small sample sizes, which is what many people
I would be much more concerned about non-linearity, and many people fail
to check this before calculating correlation coefficients.
In (c) I think one might have specified whether the data were continuous
or not since although binary and ordinal data are clearly non-normal, to
state non-normally distributed data would make one assume they were
continuous. It's like saying 'do not apply resucitation to non-breathers'
- well a stone is a non-breather!