I have a question in designing crystal oscillator
The only reason for lack of oscillation is insufficient gain to cover attenuation loss in parallel resonant circuit with 180 phase inversion in CLC resonator and 180 deg inverting amplifier.

All circuit elements shape the Q of the resonator ( Typ ~10k) especially the motional capacitance which is very small with a very large inductance.


Although at these frequencies often Colpitts series mode is preferred design due to low impedance in parallel mode. then ESR is a critical parameter for loop gain
If in doubt, just buy the OSC chip with Xtal 
(cheap &lt; $1 in volume)  &lt; 7mA@1.8V
e.g. http://www.taitien.com/wp-content/uploads/2016/01/XO-0072-OX-Type.pdf


I could analyze your Pierce design but I would bet money that Xtal impedance in resonant mode is lower than driver impedance, thus high insertion loss and insufficient gain in transistor.

Pierce Osc.




Hartley Osc.


For more details ref> http://www.ti.com/general/docs/lit/getliterature.tsp?baseLiteratureNumber=snaa065&amp;fileType=pdf