You got it wrong. What's your empirical evidence to support your statement?
I don't really understand this. You claimed that it is impossible. Saying something is impossible is different than saying that it hasn't happened. To claim that something is impossible is a final statement where certain rules can never be satisfied. As such, you certainly can provide an argument for your claim. That being said, my counterargument would be a simple example: Person 1 wants an apple, and Person 2 wants money. Person 1 and Person 2 agree that 1$ is a fair price for an apple. Person 2 gives the apple to Person 1 in exchange for Person 1 giving 1$ to Person 2. Person 1 is happy because they have an apple, which they wanted, and Person 2 is happier because they received money, which they wanted. The net satisfaction is greater than zero — both sides received something that they wanted.
If the current system is intended to be capitalist, then it is not working as intended, as was described above.
Not at all. This is capitalism.
I can use one simple example to counter that: If one can find an example of a monopoly then the market in which that monopoly exists is not capitalist — one example to prove that point is private utilities.