1. Key idea at the instant the key is closed

   For an initially uncharged capacitor, at the moment just after closing the key, the capacitor behaves like a short circuit.

   That means:

   • voltage across capacitor is initially zero,
   • current in the circuit is initially maximum.

2. Check each statement

   Statement A: There will be no current through resistor $R$.

   This is false.

   At $t=0^+$, since the capacitor behaves like a wire, the circuit current is maximum, and hence current does pass through the resistor in the charging circuit.

   Statement B: There will be maximum current in the connecting wires.

   This is true.

   Initially, capacitor offers zero opposition to change in charge, so the charging current is maximum: $I(0)=\frac{V}{R}$ (for a simple RC circuit).

   Statement C: Potential difference between the capacitor plates A and B is minimum.

   This is true.

   Initially the capacitor is uncharged, so $V_C(0)=0$ which is the minimum possible value.

   Statement D: Charge on the capacitor plates is minimum.

   This is true.

   Initially, $Q(0)=CV_C(0)=0$ so the charge is minimum.

3. Correct set of statements

   True statements are: $B,\ C,\ D$

4. Match with options

   • A: $A, C$ only → incorrect
   • B: $C, D$ only → incorrect
   • C: $A, B, D$ only → incorrect
   • D: $B, C, D$ only → correct

Therefore, the correct option is D.