If you know your father loves you, you don't have anything to prove. You know you're accepted and you want to please Him. You're anchored and from that place you operate, work, perform.
If you're not sure about this approval, then you'll go through life trying to earn it. Your identity will teeter based how you perceive yourself failing or succeeding.
The good news is that no matter what your blood dad did, your heavenly Father has approval waiting for you. You're wrapped up in Jesus, your sin is covered, you're just as accepted as the Christ, who lived a perfect life.