When a solid melts reversibly,which of the following occurs?

Identify the reaction/process in which the entropy decreases.

$STATEMENT-1:$ There is a natural asymmetry between converting work to heat and converting heat to work.
$STATEMENT-2:$ No process is possible in which the sole result is the absorption of heat from a reservoir and its complete conversion into work.

Which of the following statements is correct?

For the transformation $C(\text{graphite}) \rightarrow C(\text{diamond})$,$\Delta S$ is .......

Identify the incorrect statements from the following:
$I. \quad \Delta S_{\text{system}} = (\Delta S_{\text{total}} + \Delta S_{\text{surr.}})$
$II. A_{(l)} \rightarrow A_{(s)}$: for this process entropy change decreases
$III.$ Entropy units are $J K^{-1} mol^{-1}$