Asslam O Alaikum,
I have a similar problem.
I had some discussions with non muslims on youtube videos, facebook etc .
Well,now I am at a point that I am confused over some things which could ultimately rattle my believe in Islam. I want to have belief but ...

I would like to put up some points and ask for your help to clear them out. My point of view is that a prophet is a leader to follow,so he should be almost perfect,otherwise he is not the true prophet.Thanks

1) I cannot think of Death punishment for "apostasy" and "blasphemy law" , as I believe that no true prophet would ask to kill people rather he should be merciful. We call Prophet Muhammad(SAW) as the most compassionate human born on earth but then why these laws. There should be freedom of religion, there should be no compulsion. Some Muslim scholars like those teaching in Western universities say that Islam doesnot stand for death punishment for these reasons but clear majority of the other Islamic scholars say otherwise. There is some fatwa from Al-Azhar university saying that apostasy and blasphemy are punishable by death.

2) About the marriage of Ayesha(R.A) to Prophet Muhammad (SAW), they married when Ayesha(R.A) was six years old Which I think is WRONG, since how could a six year old kid could tell you her consent? The other point they consummated marriage when Ayesha (R.A) was 9 years old, 9 years is biologically totally unhealthy for girls.. that is because girls havent sexually matured yet. Even in those days if it was legal to marry a 9 year old for commoners it wasn't allowed for a Prophet.. Because he is considered to be an ideal person for all times.. So its unbecoming of a Prophet to set such an example for us.

Wassalam.