Travis County has seven County Courts at Law (3, 4, 5, 6, 7, 8, and 9). These courts hear Class A and B misdemeanor offenses such as DWIs, thefts, and assaults.Misdemeanor Court Searches: Upon request, the Clerk's Office will perform a search of misdemeanor records in Travis County's centralized justice system. Call (512) 960-4646 or fill out a free consultation form today to secure your legal defense. If you are arrested in Travis County the first thing to do is call a lawyer. Do not think you can handle your case on your own. Travis County rejects all criminal trespass charges against 57 people arrested at UT-Austin protest. News. The prosecutor must agree to offer deferred adjudication as a plea bargain. Is this as good as a dismissal? The arrested individual is then assigned a new felony (or misdemeanor) cause number and the case proceeds.