Took the Craftsman leaf blower apart, now what

Was there spark !! Did you check that before dismantling it ?
Again ,I have worked repairing these back in the day and if that carb sucked up some water (bubble) Looks like a ZAMA carb, not sure.:glasses7:
These 2 stokes need compression like any engine but more picky :glasses7:
If a ring rolled over or finely wore out it will start jerking and shut down.
shoot some WD 40 in the cylinder with out the carb and see if it tries to fire off and run, if it does your carb is plugged or not getting gas, it may be time for a rebuild kit on the carb and fuel lines changes out, if a fuel line has any cracks or feel sticky it will not make it to your brimmer bulb (if you have one) I have seen a primer bulb/ or seal behind these rot and not let fuel make it the the carb.
And like said up in this thread :glasses7: it is common for the muffler to get clogged because of cheep oil additives, I check for spark first... Then I shoot WD 40 in the carb to see if it will start. good hunting :glasses7: