True, God is good, he is the source of goodness. No evil stems from God though, it cant, or God is a liar, and if God is a liar then my faith is worthless.
You choose to accept the rule of God or not, you choose to accept him, or not.
If we don't choose the rule of God then we choose the rule of something else, which is Satan.
But if God created everything, then he created evil too.
Without evil there is no good.
Also, he created Lucifer, were angels also given the free choice ability?