1. R1 is functionless because it's connected parallel to voltage source.
2. Time constant is L1/R2 = 100 ns
3. To see varying voltage in simulation, initial transient simulation must be skipped with uic option in .tran command.
4. Component values are not feasible in real world, it's a purely theoretical setup.
All inductors have DCR or dc resistance. In small sizes 2~100 <DCR/L < 1000~7000 typ.
Thus your circuit works in series but is very high impedance and very low current. With such a high inductance we would expect winding capacitance to resonate with L much lower than the BW of your 50 ns signal BW=0.5/tau = 10MHz. SRF will be more like 10kHz.