your not weak and your certainly not abnormal, its normal for your body to react that way dont feel 'bad' or ashamed or guilty in anyway there's nothing wrong with you at all please dont think that for 1 minute.
those are all natural feelings you will have at this time, just try to remember thats what they are, feelings NOT facts.
if it's any help ive been through the same, im not a counsellor or anything like that but i can understand what you are going through and the different phases you will go through,if you'd like to talk, cry, rant or anything at all please pm me.