This is a really old post, I wonder if you are still checking in here...
You have asked two questions that so many people ask. I think we ask these questions once we get a glimpse of our sin against a Holy and Perfectly Righteous Just God. Since God is 'Just' He must judge our sin. We have sinned against Him as I'm sure you know, and that means that since God is Holy, Perfectly Righteous and Just, He must judge our sin according to His perfect standard which He has shown us in the 10 commandments.
However, God is not ONLY Holy and Perfectly Righteous and Just.. God is LOVE. His essence is Love. Everything He does and all that HE is flows from His core being... which is Love. God is Love. Therefore, His Holiness, Righteousness and Just nature all flow from His core essence, which is Love. God's Love is not sentimental or emotional or based on anything we do or haven't done, God's Love is based on who He is... NOT who we are. He cannot deny who He is, and HE is Love.
So--- to answer your questions:
1) Does God love me? YES.. a Resounding YES. John 3.
16"For God so loved the world, that He gave His only begotten Son, that whoever believes in Him shall not perish, but have eternal life. 17For God did not send the Son into the world to judge the world, but that the world might be saved through Him. 18He who believes in Him is not judged; he who does not believe has been judged already, because he has not believed in the name of the only begotten Son of God. 19This is the judgment, that the Light has come into the world, and men loved the darkness rather than the Light, for their deeds were evil.
2) Am I good enough to be in God's family?
No.. God's Love for us is not based on our goodness... Romans 3:10 says 'no one is righteous, not even one'. If God's Love were based on our goodness we would have nothing to cling to. We would have no hope. Our hope is in Jesus Christ alone and His goodness, and what He has done for us on the cross. We can cling to Jesus, His goodness, His Love, His sacrifice, His Grace, His Mercy... And when we do that we can have assurance of our salvation. This is usually quite offensive to people... We all want to think of ourselves as 'good'. By human standards we make judgements and say foolish things like 'I'm a good person'. God is good. He's the only One who is. BUT we are loved with an everlasting love that is unfathomable, unexplainable and irresistible.
We are accepted into God's family as His children when we repent of our sins and believe the gospel.
Jesus Christ suffered and died a sinners death (we're the sinners). He rose again back to life. He defeated the grave, He defeated sin and death, and IN HIM we have victory over sin and death. Therefore we can come boldly to the Throne of GRACE, pray to God and walk (live) in gratefulness and love in HIS POWER not our own. We don't have any power apart from God.