According to the standard theory, it is not true that there was nothing before the big bang, because there simply was no "before the big bang". The universe exists since the beginning of time; it's just that this beginning of time was about 13 billion years ago. Since there is no "before the big bang", the statement "there was nothing before the big bang" becomes meaningless because it presupposes that there was a "before the big bang" when there could have been either something or nothing.
Note however that this is not evidence-backed knowledge. We can get evidence for things happening only fractions of seconds after big bang, but we simply do not have knowledge about what happened at big bang, or even whether such an event actually happened (note, however, that often when people speak about the big bang, they don't actually mean that point, but the processes after; in that sense big bang theory is scientifically confirmed). Indeed, there are some theories which suggest that the "big bang" may actually have been a "big bounce". In which case there certainly would have been a time before the big bang, and there clearly was not nothing back then, but a complete universe that collapsed.
As of death, it is obvious that in this universe you don't exist any more after the death (both the matter and the information which happened to make up you do still exist, but they are no longer organized in a way that would be you). Even if somewhere in the universe there should by chance happen to be an exact copy of you at the time of your death, it would still be a copy of you, it would not be you. Whether you continue to exist outside the universe is something which we cannot find out as long as we live inside the universe, and therefore we can only believe or disbelieve, at least until we actually die.