Circuit parts identification (simple FM transmitter)
C1 + R1 = high pass filter (3 .. 100 hz/33uF..1uF)

C2 = RF decoupling for Q1 base (RF shortcircuit)

C3 = also a decoupling capacitor, no other specific function. 

R2 = base polarization for Q1

L1, C4 , C5 and Q1 BE and CB capacitance - series LC resonant circuit. 

There is a similar question answered here