Eviction Cases must be filed in the Justice Court in the Justice of the Peace Precinct in the county in which the real property is located. The following information is a brief overview of landlord tenant court procedures.Typically, eviction cases are filed in Magistrate court, and that court cannot offer you a jury trial. Most leases do not allow jury trials. You must file a jury demand and pay the jury fee on the court date. In an eviction case, you must ask for a jury no later than three days before the trial date. It will be similar to a trial with a judge, however, juries can feel sympathy for a person and can make a ruling that goes against you. Defendant's Jury Demand. This form from the Texas Tenant Advisor can be used to request a jury in your eviction hearing in justice court. Step 3, Ask the court for a jury trial.