Quicken me, O Lord, for thy Name's sake; i.e. give me fresh spiritual life (setup. Psalms 119:25, Psalms 119:37, Psalms 119:50, Psalms 119:88, Psalms 119:93, etc.). For thy righteousness' sake bring my soul out of trouble.
To show how righteous thou art, i.e. how good and gracious.