"Rid me of myself" is a plea of the artist for him to be cleansed by God. He wanted to help because the world overcame him and he wanted to be redeemed.
"I belong to You" is a strong request of the artist that he wanted to be claimed by God. He submitted his whole life to Him and is asking to be protected and kept holy by The Lord.
"Oh Lead me, lead me to the cross" shows that the artist is somewhere lost and wants to be found again. He wanted to change or somewhat go back to his pure ways. He was turning to God asking for Him to enter his life.