I use C14 dating a lot in my work, and have studied the method for about 40 years. I have found that the claims pushed by creationists are nonsense.
If you can present some specific questions, I'll be happy to help out.
As your link mentioned dinosaurs and diamonds, let me address those.
When the laboratories are measuring C14, they are dealing with incredibly small amounts. C14 is found in the atmosphere in about 1 part per trillion! Can you imagine how easy it is to contaminate a sample that starts at 1 part per trillion and gets smaller and smaller from there?
Groundwater is enough to contaminate dinosaur fossils! That can bring the readings of >50,000 or so down to 35,000 or so, or even less. Breathing on a sample with inherently no C14, such as a dinosaur fossil, which isn't then properly pretreated, can do the same. Creationists are not very good at submitting clean samples because they want their samples to be as contaminated as possible! That's the only way they can support a young earth.
Taylor's experiment with diamonds was designed to find out how much of a C14 signal could be produced using a sample that contained absolutely no C14. The "signal" in that experiment came from the interior of the equipment! And it was very small.
But these are the kinds of results that creation "scientists" are jumping on as absolute proof of a young earth. Their claims amount to nothing more than lies. Even the RATE group, with over a million dollars in creationist funds, could not show that C14 dating and other forms of radiometric dating were inherently inaccurate. Take a look at the following link for more details.
Assessing the RATE Project
Anyway, if you have any specific questions please post them. I have collected, submitted, and interpreted about 600 samples in a 40 year career as an archaeologist, and I have both written and lectured on the C14 process. Another poster here is very much more qualified to answer questions on the technical end of things. Several others are also pretty familiar with C14 dating. I would doubt that you could ask a question, relying on information from a creationist website, that couldn't be adequately answered.
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