Hmmm, if the plug was that new it could be something else. But since that is so easy to rule out, I would still try a new one first. Once the plug gets wet, it can spark fine outside the cylinder, but inside the combustion chamber it is a different environment (more pressure, more moisture).
If the plug and reeds don't solve the problem, other issues could be low compression due to worn rings and piston (but weak starting from this usually comes about gradually), or possibly the woodruff key holding the flywheel in place has sheared. This is not common, but when it happens you can get a strong spark, but it comes at the wrong time.