No, you testing positive for multiple tests does not increase the number of infections. You are only one person.
Yes, if you are in a car wreck and are tested and found positive, you will be counted as an infection. The car wreck is irrelevant. What matters is the infection.
I agree that a previous, verified COVID infection maybe should be counted as offering some level of protection. You may still want to get a booster as natural immunity has not been shown to be as durable as vaccine induced immunity.
If the unvaccinated were to get a vaccine, we would be able to drop the restrictions that you and everyone dislikes. Failure to get vaccinated just drags this out longer.