I Found What Looks Like To Be Black Mold, How Should I Approach This?

I was living in an apartment complex in Georgia and did a Mold Test, finding out that it had Aspergillus growing in there. I moved out and moved into a new apartment in June of 2009, actually feeling alot better during the summer. Well winter started to come and all the rains as well. I didn't know it at the time, but I had a few leaks in my apartment. I felt like I was starting to get sick, but just thought it was the time of year and the rains might have stirred up some allergies. I went into my closet one day and found the carpet to be damp. I moved a few pairs of my shoes and they had mold growing all over them and there was black mold growing on the walls. I told the front office about it and they came out and pulled back the carpet and put a fan on it to dry it out. I did take pictures before they cleaned it though. Since the start of winter, the condensation builds up on the window sills and we get a black mold there as well. The ceiling in the master bedroom, continues to leak after they said they have fixed it. Also the door that goes out to our porch, there is another window on the side of it and all along the bottom of it had black mold growing on it. I also took pictures of all these as well, and I did a mold test kit in this apartment complex as well. They said they are going to come out and tear up some drywall and check the insulation to make sure its not wet. I am figuring they probably dont want to do that until they know for sure they have fixed the leak, because they can fix it all they want but if it continues to leak its gonna do the same thing. Now my question is that I have read that black mold is bad for you. Its myself, my wife and my 2 year old son living here. I have cleaned up the mold and so has the apartment complex, is there a way if the mold test kit comes back and after we have cleaned with bleach will it grow back to check again, and use the pictures to show the complex so we could possibly break our lease. I know my son and I have continued to have difficulity breathing, runny nose. I continue to have muscle aches and headaches all signs of the black mold growing in your apartment. Also any advice on what to do to approach this further?