Hello, SqU. Welcome.
These are not "lies".
Yes, they are. Before Hovind went to prison for tax fraud, you could pretty much count on anything he said about science being a distortion, a misurstanding, or an outright lie.
There is more C-14 in the atmosphere now than there was 40 years ago.
It sounds like Hovind has never heard of aboveground nuclear testing.....
They are, obviously, assuming the amount of carbon-14 in the atmosphere has always been constant, and its rate of decay has always been constant. Neither of these assumptions is provable or reasonable.
The first assumption is not used by people that use radiocarbon dating - it is, in fact, well known to be false, and a very great deal of effort has been put into calibrating the carbon-14 clock against other clocks used to date things - tree rings, lake varves, annual layers in ice caps....
The second assumption is, contrary to Hovind's bald assertion, very reasonable. Nuclear physics is pretty well understood, after all: if radioactive elements didn't decay in an orderly sort of fashion, do you think we could really have smoke detectors and nuclear power plants that worked?
Hovind is a fraud and a felon. He's not reliable.