One way to determine the resonant frequencies is via simulation.  You can apply a 1V source at various frequencies (e.g. start at 100Hz and increment).  Then plot the current provided by the source vs. frequency (admittance plot).  You can apply a 1A source as well, then plot the voltage at terminals of source vs. frequency (impedance plot).  

I did both for your circuit in [ATPDraw][1] (gui for [ATP][2]) and they are plotted below (swept from 100Hz to 50kHz in 100Hz steps).  

First one is impedance plot, since we are injecting 1A the vertical axis (which is labeled V) is equivalent to Z.  Peak is around 2.9kHz (horizontal axis is frequency).

[![enter image description here][3]][3]

You can narrow it down once you have roughed out where the peaks are.  Below is the plot of current vs. frequency when source is 1V.  This is admittance plot.

[![enter image description here][4]][4]

**UPDATE**: Based on Tony Stewart's tutoring my plot below is Vout/Vin instead of input impedance/admittance like i show above.  

[![enter image description here][5]][5]


  [1]: https://www.atpdraw.net/index.php
  [2]: https://www.emtp.org/
  [3]: https://i.sstatic.net/ZVIR3.png
  [4]: https://i.sstatic.net/WHPj2.png
  [5]: https://i.sstatic.net/FfzOw.png