what is the possibility of two organisms having the same genetic mutation in the same place and being of seperate sex's? (asumming to start with every life-form on the planet wasn't asexual; and the need for a partner to procreate was shall we say essential).
Very small, therefore your assumption is probably wrong. One theory for the development of sex is that it started as sharing of some DNA (like bacteria do). This gave a boost to those species that did it and so more and more sharing happened until the new organism was 50% each ( rather than say 10% of the donor and 90% of the receiver ).
Sex is actually really good from an evolution perspective, positive traits spread faster and negative traits are supressed.
The thing to bare in mind is how utterly vast the universe is, when you consider how many different planets there are made up of different combinations of chemicals and such you can realise that with all those combinations and all those chances that it's pretty likely that eventually you're going to get the winning combination (i.e. Earth and it's species).
There is also an arguement that universes with different physics are possible. You could have simple changes like the electron being heavier or maybe completely different physics. It turns out if you change any of the physics constants by much, you result in a universe less likely for life. For example, there is a nuclear constant, that if you change it slightly then the fusion process in stars would have probllems ( or was it that it won't produce carbon ). Anyway, point being these parameters seem set up for life.
Two options here, say God set them that way or assume that there are countless universes where life cannot happen and the reason we aren't in one of them is cos life cannot happen.
i think that the egg came first. the chicken that was born from the egg was the result of a mutation, and he couldnt appear before his egg. therefore, the egg came first.
The egg would have the same DNA as the chicken it produces

. The mutation occured during fertilisation, i.e. when the egg came into existance

.