Well, yes He does, and he scores us with great accuracy too. If not, there would be no meaning to the Bible saying each of us will be judged for things done in the flesh. But, it's not a "weighing in a balance" thing about salvation at all; it will be rewarding for good in Heaven and setting a just punishment for bad deeds in hell; there is ONLY ONE SIN that sends anyone to hell and that's rejecting the Lord's freely offered ticket to eternal life with him in his heaven. (John 3:17-18)
And you are right. All sin is sin but not every sin is as bad as others or there would need be no cause for a judgement day at all.Many believe all sins are equal so the concept of God keeping score on Judgement Day is meaningless. If murdering a child is equivalent to stealing a $1 out of your desk drawer...well it seems silly to me. So I do not believe all sins are equal.
The Great White Throne judgement is to determine the just punishment for what each lost person has done. Each will reap exactly what he has sown, not what another has sown. (2 Cor 5:10)
Those well meaning (but wrong) people who say all sins are equal and will be treated equally in hell have been listening to too many poorly educated in the scriptures "hellfire and brimstone" preachers that have massively misunderstood the great difference between just thinking of a sin and doing it. Wishing to sin hurts us and offends God but doing sin directly hurts others; God really dislikes that!