And after these things (kai meta tauta). That is, the time of the Judges then began. Cf. Jud Jdg 2:16.
Until Samuel the prophet (heōs Samouēl prophētou). The terminus ad quem. He was the last of the judges and the first of the prophets who selected the first king (Saul) under God’s guidance. Note the absence of the Greek article with prophētou.