Where did I contradict myself? The way to attain a character trait is not the same as what it means to have a character trait. Character traits are not earned as the result of our works, so for example there is no amount of courageous works that someone is requires to have done first in order to become courageous as the result, but rather the only way to become courageous is through faith apart from those works, but what it means to be courageous is to be a doer of courageous works, so it would be contradictory for someone to become courageous apart from becoming a doer of courageous works, and the same is true for righteousness and every other character trait. In 1 John 3:4-7, everyone who is a doer of righteous works in obedience to the Law of God is righteous even as they are righteous. Likewise, everyone who is a doer of courageous works is courageous.You just basically contradicted yourself. Which is what most people do when they speak of "laws".
Laws can not define righteousness. They express basic limits to freedoms.
Laws judge the boundaries of acceptable actions at a very rudimentary level. Which is why judges are required to actually administer either punishment or freedom.
Is there any reward for keeping the law?
I ask this so you might understand your contradictions. You don't want to be judged by the law yet see righteousness in the demands of the law.
What does that make you?
It would be overwhelming to us if God were to exhaustively teach how to be a doer of His righteousness in every possible situation, so the point is to teach us how to be a doer of righteousness by teaching us a limited set of laws that all have that trait in common. If we correctly understand God's righteousness, then it will lead us to take actions that embody it in accordance with God's law even in situations that God's law does not specifically address, but correctly understanding righteousness will never lead us away from following the laws that God gave us to teach us how to be a doer of His righteousness. Good legislators do not given laws for the purpose of limiting our freedoms but for the purpose of enhancing them.
Yes, there is a reward for keeping the law (Colossians 3:23-24).