Mold, Asbestos, Lead in my home?

I moved into a home (renting) in January and since then me and my children have been sick over and over again. We were never sick before moving here. The home was built in 1959, so that is why I think it could be the home gettins us sick, there seems to be no other possible explanation. Why do me and children keep getting sick, ex: with my children, ear infections, upper respitory infections, rota virus...often and myself..well, I get sick with them and I also just got a sinus infection which I have never had in my life. I dont know what it is...has anyone else had this problem? I am a stay at home mom, they eat healthy, take vitamins, I clean EVERYDAY...Please help...