Welcome to the hobby. Be careful because it's very addictive.
Do you have access to an oscilloscope ? It's the fastest way to debug circuit problems.
I would remove L1 from the circuit and make sure it's properly oscillating. If you dont get it to oscillate properly, it wont work.
Next, I would jumper the connection between R17 and R19 to your +9V supply. By varying R19 you should see the duty-cycle if the waveform change.
If that's all good, remove the jumper and install L1. Now your supply is capable of generating high-voltage.
I dont recognize the driver circuit around the MOSFET, which includes Q15. It's a very strange topology (to me, at least).