God the architect implies order and purpose without randomness.
I'm not going to pretend I know the mind of God, but randomness could be part of the purpose, giving a form of freewill to the Universe's inhabitants. The Laws of physics give the order and the randomness gives an enjoyment of the variety and diversity of life, and the ability to make decisions and change one's own destiny. Otherwise our fates will be predetermined, and I see no point in that.
If a God always existed transcending time, then it's quite reasonable to argue that our universe has always existed in some form as well.
I'm not sure how you come to that conclusion. If you view the universe as some sort of computer simulation designed by a programmer God, the the Universe can only come into existence when the programmer presses [Enter]. The universe then has laws defined by the program as to how it operates and initial conditions (time=0).
The program then advances at a time rate determined by the programmer, so the universe is then subject to the built in time factor, it doesn't create its own.