Sounds like you are on a good track IMO.

1. Double check the fuel lines, in tank filter and primer bulb (if equipped) good for deterioration and restriction (pull the filter if in doubt if no signs of trash is in the tank).

2. My challenge with the little carb is replacing the small recessed fuel filter, which clean easy with pressurized carb cleaner below and above it. There is usually fine trash in it restricting fuel flow but I try not to rem it.

3. Rem all adjustment screws and pressure clean their ports and all ports. Count screws turn down to reset them close for restarting and tune if needed.

4. This is usually my extent of cleaning if the eng runs or tries to run vs hrs of soaking if the carb has hard varnish.

5. Lack of use is not good on engines. I treat all my fuel with StaBil and start "All" engines yearly with fresh fuel 5-10 minutes regardless or alternate use. I leave the fresh treated fuel off-season w/o a problem.

6. There are youtubs on cleaning/rebuilding the small carb.

7. Check your manual to see if it has a compression release button to make the starting easier.

Thanks loger. I was hoping to hear from you. I will check the manual but I don't recall a compression release and it doesn't have a primer bulb like my smaller saw. [Those primer bulbs go bad fast these days]. The youtube info I looked at showed how to remove the screen (sort of) and how to reseat it but like I said it appears to be very clean and I don't see any crud anywhere, but I will check it anyway.

Unfortunately, I think at that time I hadn't gotten into the habit of using stabil which I now always use, but i think there is a 50% chance I didn't leave it with fuel.

Fortunately I do have air, and will remove and reset the low, hi and idle ports and blast anything else I can get to.