I would doubt a snowblower was 2-cycle. It need torque. OP - if there is a dipstick/drain plug, it's 4-stroke.
If the Plug is getting wet, it's getting fuel. Next - is it getting air and fire? And as Eli said - compression.
There apparently are 2 cycle snow blowers, but they're going to be the exception.
Usually use the Tecumseh 2 cycle engines, apparently. Neat.
