"Begotten" does not mean created. In fact, the Nicene Creed clearly states Jesus as the eternally begotten of the Father, and yet all Christians who recite the Nicene Creed would definitely say Jesus is not created.
Alright, the Church issue is interesting. You say NO church of today is exactly what Jesus intended? NONE? How is that possible, if you believe his words "the Gates of Hell will not prevail against it"? I definitely believe there is a Church today that Jesus founded two thousand years ago, and I believe I am in it.
I certainly don't believe Lutheranism is the true church, so your example of new churches is faulty, as far as I am concerned. (I'm Catholic by the way, in case you wonder where I am coming from). I believe Jesus established ONE Church meant to live for all time. The Gates of Hell were not going to prevail against it, and it was not going to "change".
Let me explain something: in the Bible, Jesus clearly founds a Church. He also says it will prevail even against the Gates of Hell, AND he says you are either "with Him or against Him". (I don't have the exact scripture quotations but I can find them if need be). So basically, I don't see how you can say that no church today is the exact same as Jesus Church. He founded a Church, and then he let it fall apart or mutate? And by the way, when exactly do you think it fell apart? Because if I know that, I can explain somewhat more effectively.
If you are not in the one church, you are in the wrong church--clearly stated by His "with Him or agaisnt Him". So either you believe the Mormon Church is the only true church or you don't. Assuming, of course, that you do, wouldn't you believe it is the SAME Church that Jesus founded? If not, how can it be the true church?
As for the Trinity, I will give my case for that later, I am running out of time. But I definitely am enjoying this.