It isn't very likely but it does happen considering the amount of stars there are in the universe. It's almost a mathematical certainty that alien life exists on other planets somewhere else in the universe (There's been evidence of advanced life forms being 200 lightyears from us from the WOW signal). Lets say you have a trillion bowls and in each bowl there are coins for each factor needed for life, if you shake every bowl at once I guarantee there will be at least one bowl with every coin turned positively. You need to factor in the sheer size of the universe and the amount of bodies within it.
Coded systems are not equal to the brain at all, they deal in 1's and 0's (binary), we don't. It isn't a good analogy to start with. Also the part you said about the random chance is actually billions of years worth of evolution and adaptation. The eye used to be a cup shape only able to identify if it was night or day, ever since that time it has curved over to form the pinhole camera type eye that we have today. There are many different stages of this seen in nature today such as the detail seen with the eye of a hawk or the simple light detectors worms have. The human brain is not actually faster than a CPU however it is extremely dense with neurons allowing us to store a lot of information. "The God Delusion" by Professor Richard Dawkins explains a lot more of these things in detail. I recommend it.
Omnipotent beings can easily be contradicted, for example: If god is omnipotent and can do anything at any time, he should be able to create a boulder so heavy he can't lift it. If he can't lift it then that is something he can't do therefore he is not omnipotent. If he is not omnipotent then that means he can't really do any godlike stuff. This would also means he would be able to delete himself out of existence but that wouldn't make any realistic sense. *Mind blown*