Jesus' Custom of Sabbath Observance: Luke 4:16 states, "And he came to Nazareth, where he had been brought up: and, as his custom was, he went into the synagogue on the sabbath day, and stood up for to read."
Resting on the Sabbath: In Luke 23:56 (KJV), after Jesus' crucifixion, it is noted of some of his followers, "And they returned, and prepared spices and ointments; and rested the sabbath day according to the commandment." This shows their continued observance of the Sabbath even during the period of mourning and uncertainty after Jesus' death.
Teaching and Healing on the Sabbath: Luke 13:10-17 recounts Jesus healing a woman on the Sabbath and defending his actions: "And ought not this woman, being a daughter of Abraham, whom Satan hath bound, lo, these eighteen years, be loosed from this bond on the sabbath day?"
Synagogue Worship on the Sabbath: Acts 17:2 (KJV) describes Paul's practice of reasoning with the Jews in the synagogue on the Sabbath: "And Paul, as his manner was, went in unto them, and three sabbath days reasoned with them out of the scriptures."
Disciples Observing the Sabbath: Acts 13:14, 42-44 mentions Paul and Barnabas attending the synagogue on the Sabbath in Antioch of Pisidia: "And when the Jews were gone out of the synagogue, the Gentiles besought that these words might be preached to them the next sabbath."
Again Sabbath Observance in the Book of Acts: Acts 16:13 (KJV) mentions Paul and his companions observing the Sabbath in Philippi: "And on the sabbath we went out of the city by a river side, where prayer was wont to be made; and we sat down, and spake unto the women which resorted thither."
Again Synagogue Worship on the Sabbath: Acts 17:2 (KJV) describes Paul's practice of reasoning with the Jews in the synagogue on the Sabbath: "And Paul, as his manner was, went in unto them, and three sabbath days reasoned with them out of the scriptures."
In the light of these numerous verses it it clear that the sabbath was indeed observed, to say the contrary is against scripture.