As far as those verses, you must think God is some type of Genie where you rub on some type of magic lamp you whatever you wish for it appears. That's not the way it works and thats not what those verses mean.
Fine, what prayers are answered and why didn't Jessica get her prayers answered-- or any amputee's prayer for a repaired limb?
I happen to think that based on your responses you certainly believe in God but are quite angry with him. For what reason I cannot say.
I'm at a loss, though, to explain why you are so hung up on notions of prayer. Are you suggesting that because God did not save Jessica Lunsford, he does not answer prayers? I suppose it follows that because God did not answer one particular prayer that He does not exist?
The reason I say you, like many atheists, have a God complex is because you can't comprehend this situation. On the surface, to you the Lunsford case was a case of God's indifference to the plight of a young girl. This case has had ramifications well beyond the Lunsfords and that sick pervert. What if that spurs change in the legal system? What if child predators are taken more seriously (Couey was a repeat offender)? What if that spurs change elsewhere? What if this change results in future lives saved? You can't know God's will - this would require you to be God.
If you know the Bible (and you somewhat seem to) you would recall that Jesus himself prayed to be saved. The point in all of this is things that might seem to be nothing but evil can ultimately lead to better things.
Why should amputees' prayers be immediately answered? What if I pray for the suffering of people I don't like? What if I pray for a wad of cash to arrive in the mail today? What if I pray to get rid of my warts? It's a small and simple problem - why can't God just fix it?