Evolution doesn’t explain an orderly universe with suitable physical laws, A fine-tuned universe, including initial conditions and physical parameters necessary for carbon-based life, a suitable planet, such as Earth, orbiting a suitable star and capable of supporting life and the existence of life in the first place.
Evolution is the study of speciation and has nothing to do with cosmology or abiogenesis. So, in that sense, you are correct. Evolution doesn't explain these things because by definition it doesn't attempt to explain those things.
It also doesn’t explain the self-awareness of man and how one creature seems to have domain over this planet.
Yes, it does. Natural selection. A species that is self-aware is more likely to survive and dominate over a species that is not self aware.
If you want to talk about one creature having domain over this planet, I suggest you look at insects. At any time, it is estimated that there are some 10 quintillion (10,000,000,000,000,000,000) individual insects alive.
Believing in something that exists outside of time and space isn’t really as unreasonable as it sounds.
It's not unreasonable if you have evidence for what you're claiming. Do you?