Yes, the Spirit brings righteousness to light because Jesus went to the Father, and we see Him no more. The Spirit brings Christ's righteousness to light to the world, because Christ is the only Righteous One, and the only MEANS by which man can be made rightoueous.
The Spirit brings to light sin. Showing us our guilt.
The Spirit brings to light righteousness. Showing that Christ is Righteous, is the Holy One, and the Lord our Righteousness.
The Spirit brings to light judgement. Because satan was defeated at the cross, and we are free through Christ's work on the cross.
Convicts of sin, points to Christ, points to the cross.