Which of the following will not undergo Hell-Volhard Zelinsky (HVZ) reaction?

Identify $\mathrm{Z}$ in the following reaction sequence

${\mathrm{CH}}_3\mathrm{l}\underset{\mathrm{Ether} }{\overset{\mathrm{Mg}}{\to }}\mathrm{X}\underset{(\mathrm{ii}) {\mathrm{H}}_3{\mathrm{O}}^{+}}{\overset{\left(\mathrm{i}\right) \mathrm{Dry} \mathrm{ice}}{\to }}\mathrm{Y}\underset{Red \mathrm{P}}{\overset{{\mathrm{Cl}}_2}{\to }}\mathrm{Z}$

The reaction:

${\mathrm{CH}}_3\mathrm{COOH}+{\mathrm{CH}}_3\mathrm{OH}\stackrel{{\mathrm{H}}^{+}}{⟶}{\mathrm{CH}}_3{\mathrm{COOCH}}_3+{\mathrm{H}}_2\mathrm{O}$,

is called:

Which of the following is the correct order of esterification of the following acids with ${\mathrm{CH}}_3\mathrm{OH}:$

$\begin{array}{cccc}\mathrm{HCOOH},& {\mathrm{CH}}_3\mathrm{COOH},& {\mathrm{CH}}_3-{\mathrm{CH}}_2-\mathrm{COOH},& {\mathrm{CH}}_3-\underset{\stackrel{|}{{\mathrm{CH}}_3}}{\mathrm{CH}}-\mathrm{COOH}\\ \mathrm{I}& \mathrm{II}& \mathrm{III}& \mathrm{IV}\end{array}$

The product of the following reaction is: