Sorry for not following your instructions.. It's early in the morning here and my brain isn't handling instructions so well just yet. But i will try to give my response structure.
Evolution
I believe in evolution. They say seeing is believing and I, personally, believe I can see it all around me. I can see it in the races of the world and different nations. Different races tend to have different facial features, bone structure, skin color and hair. When you begin to mix the races the features begin to mix along with them. In this age of the planet we have facilitated travel and global communication making it easier for different races to inter mingle and reproduce, and their offspring show the signs of this mixing. Now add time to the mix. Within 1000 years the globe will be a very different place, with racial cocktails we haven't even seen yet. Surely this is proof of evolution. When you change the environment a creature lives in whether it be the trees the creature lives in or the neighbours in the tree, there are measurable changes in that creature and future generations of that creature.
2) Another place you could hypothetically "see" evolution would be if there were some kind of global catastrophe. This is going to sound silly but I believe it makes enough sense to use. Imagine some new, deadly gas began to seep out of the earth at an astonishing rate and based on its density this gas hovered between 5 feet above ground level and 7 feet above ground level effectively killing off the bulk of the human population. While most humans would have been killed by this gas, Midgets or Little People would remain largely unaffected by this gas. Little people are the result of genetic mutation. Most of the time this mutation is considered a flaw or a burden but in this specific situation it has become a clear advantage. As I said in part 1 "Add Time" 3000 years in the future the earth would be a very different place.. in fact few people would probably remember the days of the 6 foot man. This is evolution... genetic mutation and random chance. If your strange quirk benefits you in some way over time this benefit could lead to you dominating the other version of your species. Its not that everybody changed over time it's more about who is still around.
I am out of time so instead of a third part to evolution I will give one part to the big bang.
I am not sure what to believe when it comes to the big bang. From what I have seen it makes perfect sense. Each and every star in the universe is moving away from each and every star. If you were to press the cosmic rewind button on your cosmic VCR eventually all matter would be concentrated into one singular point. BUT where I have trouble is the moment of the bang. How and when and who and why did existence begin to exist?? At this moment I feel that the answer to my questions is that "questions and answers don't exist without an existence for them to exist in" (Translation) If all the mass and energy we call the universe was concentrated in one singular point, it would have been surrounded by endless nothingness. Time, space, matter, questions, answers, and reasons can't exist in nothing. SO the moment the big bang banged was the moment we started having time to ask questions about. Humans, currently, can't comprehend the origin of existence because we don't have an accurate perception of what time is.
Another quick piece of evidence for the big bang is the atomic bomb... We take a tiny atom and somehow create this enormous explosion of energy... Now throw that recipe into outer space where there is no friction. It would look a lot like our universe.... matter, constantly expanding away from all other matter in every direction.