If a lawyer is invited in the second instance, the agency fee must be paid again and the entrustment formalities must be handled. Therefore, as long as an appeal is filed, you can continue to entrust a lawyer of first instance or entrust other lawyers to represent the lawsuit.
Legal basis: Article 164th of the Civil Procedure Law of People's Republic of China (PRC). If a party refuses to accept the judgment of the local people's court of first instance, he has the right to appeal to the people's court at the next higher level within 15 days from the date when the judgment is served.
If a party refuses to accept the ruling of the local people's court of first instance, he has the right to appeal to the people's court at the next higher level within 10 days from the date when the ruling is served.