Any appearance filed for any party in the Probate Court shall continue in the superior court for juvenile matters unless (1) a motion to withdraw is filed in the Probate Court within five days of the filing of the motion to transfer, and the motion to withdraw is granted by the Probate Court, (2) a motion to withdraw is filed by such party’s counsel and granted by the superior court for juvenile matters, or (3) another counsel files an “in lieu of” appearance on behalf of the party. If the party represented is indigent or is the child subject to the proceedings, new counsel shall be assigned from the list of Public Defender Services assigned counsel and shall be paid by the Public Defender Services Commission. The superior court for juvenile matters may request that the Division of Public Defender Services contract with probate counsel for representation if continued representation would be in the best interest of the client. Counsel for indigent parties or minor children appointed by the Probate Court who remain on the case in superior court for juvenile matters shall be paid by the Public Defender Services Commission according to its policies at the rate of pay established by the commission.