Glycerol on treatment with oxalic acid at $110 \ ^oC$ forms

Alcohols combine with acetylene in the presence of mercury compounds as catalyst to form

An optically active alcohol of formula $C_9H_{12}O_2$ produced the following compound when refluxed with $KMnO_4$. What is the structure of $(A)$? The original compound showed these properties also:
$\mathop {C_9H_{12}O_2}\limits_{(A)} \xrightarrow{Na} H_2 \text{ liberated}$
$\mathop {C_9H_{12}O_2}\limits_{(A)} \xrightarrow{Br_2} \text{ no rapid reaction}$
$\mathop {C_9H_{12}O_2}\limits_{(A)} \xrightarrow[{cool}]{CrO_3 / H^{+}} C_9H_8O_3$

When ethyl bromide is treated with moist $Ag_2O$,the main product is:

In the following reaction sequence,$CH_3CH_2OH$ $\xrightarrow{P + I_2} A$ $\xrightarrow[\text{dry ether}]{Mg} B$ $\xrightarrow{HCHO} C$ $\xrightarrow{H_2O} D$,the compound $D$ is:

Which statement is not correct about alcohol?