If you are uncomfortable with rebuilding the carb my suggestion would be to do the following...
Firstly post a pic of the piston... if turning the saw over doesn't bring the piston up then you'll be wasting your time doing anything else.
Assuming P&C is good... empty fuel tank, replace fuel filter, & fill with fresh non-ethanol mix.
Remove carb & clean the outside thoroughly with a toothbrush & the likes of fuel/ WD40/ carb cleaner. Then submerge the carb in a glass of fresh fuel for a good few days. Cover the glass to prevent evaporation & agitate/rotate the carb regularly.
Dry carb & reassemble the saw with your new plug, check the choke is closing properly when set, & fit a clean or new air filter.
It probably wouldn't hurt to remove the coil, thoroughly clean around it & replace it with the correct gap (use a standard business card to set)
If it doesn't run as it should after that the next step is to rebuild or replace the carb