What is the unit for the zero order rate constant?

Which of the following reactions end in finite time?

$A \rightarrow P$ is a zero order reaction. At $298 \ K$ the rate constant of the reaction is $1 \times 10^{-3} \ mol \ L^{-1} \ s^{-1}$. Initial concentration of '$A$' is $0.1 \ mol \ L^{-1}$. What is the concentration of '$A$' after $10 \ s$?

The rate constant of a zero-order reaction is $0.2 \ mol \ L^{-1} \ hr^{-1}$. If the concentration of the reactant after $0.5 \ hr$ is $0.05 \ M$,then the initial concentration of the reactant is ....... $M$.

Derive an expression to calculate the time required for the completion of a zero order reaction.

Mention True $(T)$ and False $(F)$ statements for the following expressions related to a zero-order reaction $R \to P$:
$I. \ k = \frac{[R]_0}{2 t_{1/2}}$
$II. \ t_{1/2} = \frac{[R]_0}{4k}$