Not really
I have problems with some of the following:
If God exists, where was he before he created the universe?
There is a branch of Deism called Pandeism. Pandeism holds that God was a conscious and sentient force or entity that designed and created the universe, which operates by mechanisms set forth in the creation. God thus became an unconscious and nonresponsive being by becoming the universe. Other than this distinction (and the possibility that the universe will one day return to the state of being God), pandeistic beliefs are deistic.
WHERE did he create the universe?
As far as we know there is no "outside of the universe" The universe is all there is and will ever be.
If God is all-powerful, why would he want us to worship him?
That depends what you mean by worship. If you mean be more like God and love mankind and wish it no harm, and wish it to progress into a more Godlike state through increasing knowledge (move toward omniscience rather than away from it) then you can see he would want this for the betterment of mankind.
Then again, I have much the same problems with "the big bang theory."
Where did the explosion happen?
The big bang is an expansion of spacetime itself not an explosion is space.
What was there before the explosion?
There is nothing before the expansion of spacetime.
What exploded?
The parts of the universe unbounded by gravity are expanding.
Where did all that material come from?
All the material in the universe started out as a singularity. It did not originate from anywhere else.
I know science has its theories about the origin of the universe...but none of it really answers those questions.
Science answers many questions and makes many predictions and is constantly changing, evolving and answering more questions everyday. It is a worthwhile endeavor to undertake and learn more so than even Religion in my opinion.