Answer
The current through the resistor $R$ in all three situations will be zero.
Work Step by Step
Note that opening the switch essentially removes the battery from the circuit.
We can use Equation (30-45) to write an expression for the current as it decays:
$i = \frac{\mathscr{E}}{R}~e^{-tR/L}$
A long time after the switch is reopened, the current will decay to zero. There will be no current in the circuit.
The current through the resistor $R$ in all three situations will be zero.
