With a new to me saw, I would then put a new kit in the carb, inspect fuel and impulse lines, new fuel filter, and flush the fuel tank, and clean the air filter as a basic start if it was not running well.
Then give it a good overall clean including taking off the clutch (its opposite thread, so you undo it by going clockwise), and giving the oil drive gear some grease, and its bushing inside a clean and fresh oil.
clean up clutch drum, clean re grease clutch bearing dress bar, sharpen chain etc etc etc
Whilst going over it like that, you pick up on other bits and pieces that may need attention like loose screws etc.
It was sold for a reason, just have to find out the reason/ s.
Often with low hr saws, and you have already checked the piston condition, a clean of the carb, to remove stale oxidised fuel residue, or new diaphragms etc will get it running ok again.
No dont bother with big bore chinga stuff, the oem top end on those are really nice, and they perform well, its one of my favourite saws the 036, have a few of them.
edited to add.
welcome to AS, I dont know your level of experience in operating saws, or fixing them, so need more info so we can help you further.
