I see the same thing here - "This is what I think I spend. The CPI says the average family spends their money differently. Therefore, the CPI is wrong. And not just wrong, but intentionally wrong."
You are skeptical of fuel oil, vs. "clocks, lamps, and decorations" and "other linens". But, judging from what you've posted here, you have done zero research to compare them. When d actually does some research, you ignore it.
I did some research on college costs that support the 6.1%. You said "nice data" but proceeded to ignore it an only look at your situation.
Now, you're confusing producer costs with consumer costs. If I own a retail store, the money I spend stocking the shelves isn't directly part of the CPI. Remember, the "C" stands for consumers. If I own a trucking business, my cost for diesal isn't counted directly in the CPI. In both cases, the CPI will include the final impact on consumer prices, but the fact the business is a sole proprietorship doesn't convert producer costs into consumer costs.
I think the correct question at this point is "What evidence would be sufficient to convince you that the CPI is a reasonably good measure of average consumer prices in the US?" You have an opinion that the CPI is grossly wrong, I'm becoming convinced that your opinion is not "falsifiable"
Falsifiability - SkepticWiki