Assuming you are not trolling...
There is no event which would disprove global warming nor is there any event which would prove global warming. Global warming is global, so individual weather events are statistically insignificant.
Both the observations you mention are symptoms of weather instability. It is not inconsistent to say that some areas will receive more snow/rain and others will receive less and that these areas may be the same in different years or even months.
As for the likes of Al Gore, I must ask - Why you are taking him to be an oracle of science? I'm sure you are an intelligent person and if you wish to have an intelligent opinion then you should be relying on reliable sources, not on a politician-cum-climatologist.
It isn't easy being the parent of a six-year-old. However, it's a pretty small price to pay for having somebody around the house who understands computers.