Ruby, your first question has been handled, so let me tackle the life starting issue.
Imagine something that can replicate itself. Don't care what, say a matchbox car

Each time they replicate, they come out just a bit different.
It stands to reason (and all our experiments) that when you put those things in a hostile environment, some will do better than others.
Those that die before reproducing will not be able to influence the next generation. Therefore, in general, the things that don't cope well will die off, and those that cope well will continue to survive.
To use my matchbox example, put them in a room with a normal (ie destructive) 3 year old. The kid will try to stomp on them, flush 'em down the toilet, eat them, etc. Pretty quickly any car that can't evade the 3 year old will no longer exist, and now you have a fleet of cars that are better. Some will be faster, but some will be structually stronger, others may just blend into the carpet.
Does that make sense so far?
A natural objection is that there are only tiny changes in each generation, how can that add up to the huge differences we see in different species?
The math behind it is nonintuitive, yet proven. In laymans term, suppose only 1% of the population has an advantage that gives them only a 1% greater chance of survival than the rest of the population. Those are small numbers. However, these things work exponentially. For example, in the next generation, just a couple extra kids survived in that 1% population than in the rest of the population. So now the ratio is 1.1%.
No Big Deal, right? Wrong. Because now they reproduce again, and now there are more in that group, so even more will survive. So this time it is 1.4%. Next generation 2.3%. Next generation 4.9%. The next generation 18.7%. The next generation 47.5%. The next generation 87.1%. (I just totally made those numbers up, but it's basically how it works)
So in just a few generations, you have a minor segment of the population with a
tinyadvantage, and it is spread throughout the population in just a few generations.
And if that is not impressive, remember things like bacteria reproduce every 20 minutes or so! A couple of hours, and you have just bred for an advantage.
So, if you started just with a very simple chemical that can reproduce itself, it'll just start adapting. Not because of any hard to understand rules, but because that's just what happens when you make more copies of a good thing than a bad thing.
Note I didn't say anything about genes, mutations, etc. We can get into the mechanics of it if you want, but can you see how _anything_ that reproduces itself with variations will neccessarily evolve in a hostile environment? If not, just ask questions, there's a lot of us who will be happy to explain it.
How those first chemicals got started, nobody knows yet. There are ideas, but nothing proven. However, scientists conclude that evolution is true because it is a very simple explanation (what I wrote above is the gist of it, the rest of the theory is just working out the details) for what we see around us. Again, if you have questions about the nature of that evidence, just ask.