Kirchhoff’s law works in an RLC circuit with DC
Under DC you have inductors acting as shorts and capacitors acting as opens. From there you have a simple circuit with a resistor and an open. Should be easy to simplify then.

If you have an open in the circuit, then all of the voltage drops across the open and you have no current flow. If you have a complete circuit (no opens), then you have the current flowing through resistors according to Kirchhoff's law and Ohm's law.