You are thinking like an extremist, an idealist. The first sentence above is a false statement. More correct would be to assert complete and perfect equality isn’t present if one can one-sidedly force an interaction. How do you propopse we measure equality in such a precise manner? (rhetorical, we can’t) You also clearly reduce everything to the individual, it appears you perhaps should think less egocentrically.
Your second statement has the same flaw. If everyone together makes up rules (society) and everyone has to adhere to them, it’s still equal enough. Equality is not something you reach, it’s something we strive for, but without pretending it’s the ultimate goal by itself. What it really is, is a means to a decent society, not some idealistic goal by itself.
So no, striving for equality does not mean there are no rules and laws and does not require everyone has the ultimate freedom you seem to consider the ultimate goal still.
There’s a selfish and a social way to go about the above golden rule.