I wonder if you are asking whether there is one level of the judicial branch in Virginia that has both original and appellate jurisdiction over both criminal and civil cases. If this is the question, there is one level of the system that has this. This level is called the circuit court level.
Circuit courts in Virginia have original jurisdiction over some kinds of criminal cases. They have original jurisdiction over all felony cases. They also have original jurisdiction over misdemeanor cases that result from grand jury indictments. The circuit courts also have original jurisdiction over a number of civil cases. In general, they have original jurisdiction over all civil cases where the amount at stake is more than $25,000.
At the same time, the circuit courts have appellate jurisdiction over other cases. There is a lower court, the general district court, that hears less significant cases. These courts hear misdemeanor criminal cases and civil cases involving less money. The decisions of the district courts can be appealed to the circuit court. This means that the circuit court level of the Virginia judicial system has both original and appellate jurisdiction over some criminal and civil cases.