Surely if God had unlimited power - there would be none of these things.
Nice list of arguments that God does not exist. If you think these things prove God is not Omnipotent, I suggest you look to answer these questions:
Why did God give man freewill?
Why did God provide the temptation that resulted in the original sin? Did he not see this coming?
I believe my Omnipotent and loving God did not create a pet dog or an ant farm for his amusement. He created a complete environment where we could grow and learn to commune with our creator. This our place to learn the pain and sorrow of not being with Him and the joy and rewards of following His word. We are not capable of understanding why all the things we perceive as bad happen, but we must learn to appreciate the lessons and gifts He graciously gives us. Especially the gift of forgiveness through the sacrifice of His son, our Lord and Savior Jesus Christ. Proof of a Love that cannot be exceeded.
God be with you.