Question about child support?

I'm currently in a legal battle with my ex fiance. We just went to court and I hired a lawyer. She stated in the court that I have not tried to contact her or see my son, which is a complete lie she hadn't contacted me since she was 2 months pregnant and I called all the time. Therefore, the judge really stuck it to me and gave me high child support payments $174 for back support and $295 thereafter and I only make $10 an hour for the summer. In the next session with the commissioner she was caught in a lie and confessed I did try to contact her and that on the record she said she didn't want me to be the father. I've spoke with my lawyer and he says to keep trying to contact her and I have 3 times a week and i've left voicemails and wrote letters. I haven't even seen my son yet who was born in december. And now family court won't be until september so I have to wait the entire summer to even get to see him for the first time. And she refuses to talk to me which will really hurt her in family court however I just want to see my son. Is there anything I can do in the short-term and how will I know if my support payments are going towards my child. I'm a college student and I am really pushing for 50% custody so I will not have support payments and I will have adequate time with the child since I live about 2000 miles away. Its a very difficult situation for me and i'd appreciate any comments I could get....