Not my strongest scene but here goes.
Looks like everything to the right of R3 is the ultrasonic bit.
L3 and C3 form a filter to make sure the xtal vibrates at its fundamental frequency not a harmonic.
L1 & L2 look like part of a hartly oscillator circuit.
I'm not sure what D7 does, at this frequency a 1N series isnt going to switch, maybe its to bias the trans.
Transistor selection is critical, gain will be imprtant to ensure oscillation starts, and stand off voltage too, is there any reason you cannot use a Bu406?