1. Everything that begins to exist has a cause
2. The universe exist
3. Therefore, the universe has a cause
2 problems I would like to highlight.
First - allow me to reuse this logic:
1. Everything that begins to exist has a cause
2. God exists (in your belief)
3. Therefore, God has a cause.
What caused God?
The second problem, might easily be highlighted by a typical response I've heard to the question, "what created God" and that is 'God has always existed'. That then flags the issue of 'begins to'. Did the Universe begin? If you're going to accept that God didn't begin - then why should matter, space and energy begin (or 'the components of the universe'? That may appear as strawman, but it doesn't matter which way you argue it, the second problem is the statement, "begins to", as it naturally assumes something about the Universe.
Has it been proven that the Universe has a beginning? For your statements to even be considered, I think that would be worth addressing, otherwise it just means that part of the argument is moot.
If we were to remove the qualifier, "begins to" then it solve that problem, so, "Everything that exists, has a cause. The Universe exists. The Universe has a cause." Problem number 1 would still exist - "what about God?" But problem number 2 is gone...but is replaced by problem number 3, which would be followed by the question, "does everything that exists have a cause?"
So I don't see how you could make that logical statement to work in order to bring me 'God'...at least not without proving statements that I sincerely doubt you could prove. (I wouldn't know where to begin in proving that the Universe has a cause or that the Universe began)
