Chainsaw Repair

Ok guys , new here so forgive the tone, haven't figured out the volume or sense yet.

Why was the coil replaced in the first place?
Have you tried to plop a few drops of mix in the carb or down the plug hole to see if it will pop?( fuel delivery)
You say you rebuilt the carb, can you verify correct gasket and diaphragm order and jets open and flowing.?
I keep a plug that's threaded to the size of a decomp valve so you can eliminate the valve quick and cheap.
Have you checked for sheared key way on crank? (Timing off)
What kind of pressure and vac testing have you done to hoses, case and seals ect.

You need to eliminate some issues before chasing all possilities. I vac test every line and hose new or old. Work from knowns to unknowns.