How can a resonator do band-pass filtering?
The circuit you show isn't a useful filter.  The current from the voltage source is nicely bandpass filtered, but in the real world that's not terribly useful.
A useful model for an RF filter would be something like this, with a source that has a real source impedance (represented by R1), and a load that also has some real impedance, not to mention that the inductance will come with its own bit of effective impedance.  This should have a band-pass characteristic, with the center frequency of the filter determined mostly by the values of L and C and it's width determined by L, C, and the resistances.



simulate this circuit &ndash; Schematic created using CircuitLab