People are saying science doesn't concern itself with these types of question, I disagree.

1) Does the soul exist? Maybe, neuroscientists are currently working on the parts of the brain that are active when people are being religious and it may be that they will discover a part of the brain that relates to what people may consider their soul. It may be that this part of the brain is what is active when people are being spiritual even if they are not religious. So we cannot say definitively if the soul as you mean it exists, but we may be able to explain why people think it does.

2) The big bang theory. As has been said, who is the wrong question. even if you believe god did it, he would still have used some method that must be understandable to us. After all everything else in the universe has so far been understandable in scientific terms so it would be strange if he left that one obscured. And if he left his fingerprints on it then what price faith? Faith becomes unnecessary once there is sufficient evidence to know that god exists and apparently god want us to believe without evidence. So scientists may one day work out what caused the big bang and it may simply lead to more questions, or for us to know that we are part of a cycle of creation and destruction that goes on in nature ad infinitum.

3) Chicken and the egg? All chickens come from eggs. Not all chicken eggs were laid by chickens. The very first chicken egg came from a very close ancestor (genetically as well as its mother) of the chicken. It was close enough that they could interbreed as they were not distinct species. Over time, for whatever reason the chicken was better adapted and out-competed the ancestor until the ancestors no longer existed and only chickens remained.