Just a few things that came to mind when I read the questions. If I'm unclear, just ask...I'm rather tired as I write these.
1. Does science and the theory of evolution disprove the Bible?
No. Our current scientific knowledge might not support certain interpretations of the Bible, but the Bible is virtually impossible to "disprove."
The historical events described by the Bible are impossible to verify or disprove through scientific methods. Other archaeological or historical documents could support the truth of some of these events (and in many cases, they have), but many are such isolated and short-term events that there is no way we could find any real scientific evidence either way. Take the commonly cited stories of Jesus feeding the multitude. There is no way we could find real evidence to support or deny this miracle actually happening. So, scientifically, there cannot be a real opinion in this case.
As for evolution specifically, our knowledge around evolution and the history of the earth very strongly opposes any young-Earth interpretation of the Bible, but obviously cannot "disprove" a belief that is immune to being disproved.
3. Old Testament law – don’t they promote evil (stoning of rape victims, Deut 22) and aren’t Christians hypocritical in not adhering to them today?
I'm no biblical scholar, but the take I've typically seen here is that modern day Christians don't have to adhere to these laws because the New Testament effectively replaces the old law with the new word of Jesus (unless I'm mistaken, which could happen). I have no idea how one could defend some of the hideous things mandated by the OT by modern standards, unless you simply say it was ok because "God said so." Obviously I cannot say I agree with that logic, but I've never heard it defended any other way personally.
5. If Jesus was really God, why did he die?
This seems like an odd question...I mean, sure, Jesus's human body died, but I'm pretty sure any Christian viewpoint has to accept the caveat that Jesus's immortal God-self did not actually die when he was crucified. Besides, God can do whatever he wants, right? If God wanted to physically die and be spiritually reborn the next day, why couldn't he?
6. How is it fair that if a murderer repents he will go to Heaven, a ‘good’ person who doesn’t repent will go to Hell?
As a non-christian, this is indeed a question I ask myself when I look at Christianity. I know that in the Christian sense, no person is actually "good" by definition and so the murderer is technically just as much a sinner as all of us when it comes to Heaven admission standards. But it's easy to see why a non-Christian would be upset by the thought of Hitler being able to get into heaven if he repented and your average, everyday non-mass-murderer is bound for hell if he just believes the wrong thing. Again, from a Christian viewpoint it makes sense, but it remains a heavy obstacle for many people not already bought into that worldview.