Your first statement goes in line with what I expressed on my first post. Global warming includes extreme cold now? But I thought it was warming up on a planet level.. The notion is contradictory.
Now, that you use an example of temperature shift of a week's time to argue that global warming is a very real thing is not a very compelling argument. Humans have been measuring temperatures for over a period of 130 years, and we are coming to easy conclusions out of them. But when studying the Earth Geologically we use the Aeon (1 million years) as a magnitude. And the last glaciation analysed (the shortest as per the studies done) lasted over 20000 years. (Some data mentions cycles estimated between 40000 to 100000 years) Yet we can conclude without any doubt that it is now a global warming and caused by humans, nonetheless.
Based on the above, sorry but I am not buying it.
EDIT: Also, solar flares and solar activity is influencing the Earth's climate in a very significant way. In fact, when a big solar explosion happens, after a certain amount of time, the Earth is affected by it.
Earth's revolution around the Sun is also affecting the climate. Let's not forget about it as well. And that one is more difficult to estimate.