My questions above are only to point out what I think is the conclusion to your line of questioning. Only the ignorant would suggest that we know exactly what happened in the past. Let me emphasize, that's not the aim of science.
Regardless, we can argue limitations on what is possible in the past from surrounding evidence, which you're surely aware of based off your questioning. You definitely sound like you would be willing to defend some kind of supernatural intervention in the past at least as a possibility, which at least in theory I have no problems with. The issue is your reasoning would at a minimum ask you to posit what you think is actually defensible about the past, and how you would reach that position. Ultimately we have to use inductive tools, and the natural surroundings are the only things we have to measure against. Your position sounds as though there are things that are worth defending about the past, they just don't align with commonly accepted mechanisms.
Speed of light, river erosion, uranium-lead dating, etc. are very sound in describing what we see around us, you'd need to explain why they don't suggest sound limitations on the past.
It's not that scientists can be incorrect in concluding ages from these tools, but what you posit should be more predictive if we're to conclude your position is the sound one.