No, since past amounts of radiocarbon have already been properly calibrated. No recent fluctuations will have any effect on the past concentrations, needless to say, unless you've got a time machine in your pocket.
And as time passes the ability to detect the increasingly small amounts of radiation that have passed half-life point reach the limits of instrumentation, the smaller amount of radiation available at the start has a greater and greater effect on the date in a logarithmic effect.
No it doesn't, since the logarithmic "tail" is cut off by the limits of the instrument sensitivity. An "X%" reduction in original quantities would only produce an X% change (not a logarithmic change) in the number of samples for which the measurement returns an answer of "this sample is older than we can reliably measure with this particular method, go use some other method that's better on older samples".
Uh, so the recent variance of radiation from the sun is a one time event, and you know because you were there? Obviously the constant of the suns output, ain't. I can't believe you do not comprehend this. Besides, one meteor shower of radioactive materials would change the background radiation, or a passing dust region that the solar system passes through. One increases background radiation, the other decreases it from the sun that is not a constant anyway.
If the background radiation was shielded with Ice rings as the Biblical story hints, your starting radiation would be drastically smaller than you calculated for. Tell me, would that make your test show an item as much older than it is? As a few feet of water is an excellent radiation shield in a nuclear reactor, I suspect the background radiation would have been infinestetimaly small. It may even have something to do with the reported longer life span.
Was that the story, WE DO NOT KNOW, just like YOU DO NOT KNOW that present variables were constants for millions of years.
Your radio metrics depend on no variablility of radiation rate, but in a dynamic system it just does not work that way. In real life recent measurements of the SOPHOS satellite have shown increasing radiation rates that is affecting the ice caps of all the planets in the solar system. (So much for man being the cause of global warming, the sun is hotter and, suprise, its getting hotter)
Now tell the scientists at NASA that they are all liars and are Creationists, they could use a good laugh. It's better than thinking up ways to insult me for things you cannot seem to comprehend.