The enactment of this chapter shall not affect any case, proceeding, appeal, or other matter pending in the police court operated by the city under RCW 35.24.450 through 35.24.480 on July 1, 1984. This chapter shall not have the effect of terminating or in any way modifying any right or liability, civil or criminal, which may be in existence on July 1, 1984. The municipal court of the city shall operate as the police court for all matters pending on July 1, 1984, and shall continue to hear all of those pending proceedings until all are completed.