Like mndriver said,go to a local clinic.But if you can't do that,you were smart for leaving CRST.They probably would'nt have got you home by the 31st.
So you don't show up and you get a warrant, big deal. First they have to catch up with you, good luck. If they do catch up with you then what? I doubt they want to pay to send half way across the country for not taking a paternity test. I'd call the court and try to reschedule, if that doesn't work I just wouldn't show up. Afterward when you have a few days you can go find the judge.
Yeah, no biggie, right? Until you get stopped, and the cop runs your license. And finds the warrant for your arrest. Then the problems start, usually with you cuffed on the side of the road! ! Yeah, I'd listen to PayCheck, don't worry about it, nothing will happen....
If your from out of state they will most likely just release you right then and there on something like that.