Does the statute of limitations mean one year after warrant is issues it would no longer exist?

My X-husband choked me and pulled out a 2inch section of my hair then left. I made a police report that night and filed for a warrant the next day. Does the statue of limitations in Alabama mean one year after the warrant was issued and after that year he would no longer have a warrant? Or does the statue of limitations only apply to me and how long I have to press charges? Also, what kind of attorney would be able to tell me how to handle visitation and child support during this situation? I don't believe a divorce attorney does that, right? Our daughter is nine and I am worried he may check her out of school and leave to NJ to avoid being served the warrant.