Coyote's already picked you up on the huge difference between the atmospheric quantity of carbon-14 and it's decay rate, but I want to pick up another blunder
(It would be interesting to know if the article was written before the discovery that the earth's magnetic field does in fact regularly reverse itself.)
Did you even look at your second link? Scroll down to where you find
this image. What do you notice?
The Earth's magnetic field has had the same polarity for the last 780,000 years! It even says so in the first paragraph! You'll note how many times longer 780,000 years is that the 50,000-70,000 year limit on radiocarbon dating, and how it's thus irrelevant over the period discussed!
Oh, and given that magnetic field flips have been known about considerably longer than we've had the internet it's pretty safe to assume that the article in question was written after we discovered it.