Your straw man of AGW is a bit odd in its emphasis:
1) The warming trend in the late 20th century is unprecedented. This can be falsified by any historical record which shows CO2 rises lagging temperature rises;
First off, this isn't a prediction, but rather a question of historical fact. Second, I'm not sure "unprecedented" is a fundamental aspect of the theory of AGW -- popular media presentation notwithstanding. It seems to me that CO2 concentration is unprecedented however. Third, what does the lead/lag of CO2 vs temperature have to do with the magnitude of the warming trend? Finally, I would just mention that the rate of change is probably the important metric here, not the absolute temperature.
2) The warming trend in the late 20th century is caused by man-made CO2 emissions, which create a tipping point with a positive feedback loop. The critical point is 350ppm. Any higher, and we will have constantly increasing temperatures. This can be falsified by either a plateau in the increase of temp or a decrease in temp while we increase CO2 levels, or by showing that any time we had > 350ppm in the fossil record, the temperature ran away into a positive feedback loop and left the earth a burning husk.
Warming-trend-is-created-by-man-made-CO2 is basically a re-statement of AGW itself, not any prediction thereof. And the "critical tipping point" aspect doesn't again seem to be a fundamental part of the theory. Again, it seems more like the kind of thing that's trumped up in the media. I don't recall any scientists claiming that the earth will end in a burning husk.
I'm really wondering where you're getting these ideas from. They seem like a strange mash-up of anti-AGW memes with no organizing principle and no intention of checking your impressions against any facts.
Also I'm wondering why you're not mentioning some of the clearly obvious falsifiable predictions: Like the fact that earth-climate-models are generated using assumptions about how CO2 affects radiation in the atmosphere, and the implications of models can be compared with current climate data?
finding more data that supports your theory does not protect it against even a single bit of data that refutes it
So what's that "single bit of data" that just kills all hope of AGW? I'm intensely curious.
Give me just one. The real kicker. I don't want a spamming of scattered nitpicks. Go ahead and kill AGW for us once and for all.