Behavior of RLC circuit elements at t = 0
You confuse the role of capacitor and inductor.


The inductor acts as a wire and the capacitor is an open circuit in static conditions
At t = 0- you have iC  = 0, iL = 0.5A and vL = vC = 0
At t > 0 you have iL = -iC, vL = vC and Ic = C*vC', vL = L*iL'
As a consequence of vL = -L*C*vL'' (and iL = -L*C*iL'') you get an oscillation of infinite duration for t > 0. I.e. the voltage at and current through inductor and capacitor are sinusoids with frequency of 1/(2pi*sqrt(LC)) = 1/12.6 Hz.


This is also easily understood: The energy stored in the inductor (supplied at times t&lt;0) is at times t>0 continuously oscillating between the capacitor and the inductor at a frequency corresponding to the resonance frequency of the L-C circuit.