JEE Advanced 2023 Physics question on Current Electricity

In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of 1 A flows through the $1\,\Omega$ resistor. The key is closed at time $t = t_0$. Which of the following statement(s) is(are) correct?

[Given: $e^{-1} = 0.36$]

1. A.
   The value of the resistance $R$ is $3\,\Omega$.
2. B.
   For $t < t_0$, the value of current $I_1$ is 2 A.
3. C.
   At $t = t_0 + 7.2\,\mu s$, the current in the capacitor is 0.6 A.
4. D.
   For $t \to \infty$, the charge on the capacitor is $12\,\mu C$.

[JEE Advanced 2023 · Paper 1]