Hey
@Bob Hedgecutter any advice what to check next?
Dude- it is a plastic consumer saw- and you are asking ME what next?
I do not play around with Mitre 10 or Bunnings (our Walmart?) plastic saws as a rule- but will give it a crack off the top of my head.
First guess would be one of the fuel lines is running incorrectly in the system- one of the purge bulb lines not running to the correct place.
Next: What caused all those parts to need replacing? Could have a massive air leak somewhere.
Third: Low quality replacement parts ie: Chinese elcheapo carb, some of those you need to be near 3 turns out on adjuster screws to get the saw to run, if it will run at all.
Compression, air/fuel ratio and spark- is all you need for a 2 stroke to run.
Try pouring a thimble full of mixed fuel down the throat of the carb with the air filter removed and the choke open, close the choke and start the saw- if it fires and runs for a few seconds- it is fuel delivery and possibly the incorrect fuel line order thing.