When the Judge Awards Child Support Do The Also Award Visitation?

I made a absolutely poor choice when I thought my ex and I would ever be together forever..ANYWAY. We have two children together and I filed for child support back in September, since Los Angeles has such a poor system, my paperwork was never filed in court until I had to make 2 phone calls back in March, on what happened to my case. Long Story short, They since filed my paper work in April and since being served with the papers my ex, is now moving out of our building..Yes we live in the same building yet he does not visit the children. He has since wants to dispute the amount he has to pay me in support. He has told me he does want visitations only when the court awards it to him. I have a problem with that because He does not want to tell me where he is moving to. I asked him for his new address and he asked me why. I told him he will not be taking the children if I do not know where he lives and how does he expect us to come together as parents if he is going to continue act this. I am now weary of even showing up for the support hearing because of this. I don't mind the visitations but I do mind that he will make the visitations more difficult than how it should be..for example acting like he's not home when I come by, or not picking up the phone when I call, or not knowing where he lives. How will they award visitation especially if he has not any visitations with them before?