Since Paul says that every law is included in the commandment to love your neighbor as yourself (Rom 13:9,10), and Christ made this one of the two greatest commandments (upon which all the Law and the Prophets are based, and which sum up the ten) then all 613 laws are indeed included in that one commandment. [Note: It was the rabbi Maimonides (Ramban) who stated that there were 613 commandments in the Torah]I don't know if the Ten are included in the 613 or not. I just know people say there are 613 laws. What I do know is the law is a single entity, not two.
Regarding the Sabbath, very few on either side are willing to admit that the Lord's Day -- the first day of the week, or the eighth day -- is in fact the Christian Sabbath, since it meets all the requirements of that commandment if observed properly. While the 7th day was given to Israel, it also separates unbelieving Jews from believing Christians today (and has done so for 2,000 years). And Paul has already told us that the sabbaths (literally "rests") were "shadows". They are to be considered as shadows of the perfect rest that every believer has in Christ, since all those who come to Christ rest solely in Him and His finished work of redemption, as noted in Hebrews.
Furthermore, as we see from the history of Israel, the Jews were (a) not observing the weekly sabbath as commanded, and (b) had changed the meaning of the sabbath to become burdensome. So Christ deliberately chose to heal on Sabbath days to teach them a lesson about doing good works on the Sabbath. (Are Sabbatarians doing good works on Sabbath days?) The religious leaders of the Jews claimed that Christ was breaking the Law, but that was not true. In any event they used this as a reason to plot His death.
Also, as we go through the New Testament, we do not see Christians observing the Sabbath after Pentecost. But we do see them observing the Lord's Day -- the first day of the week, the day on which Christ rose from the dead, hence its tremendous significance. God rested from His creative works on the 7th day, and Christ established His redemptive work on the 8th day. Therefore we enter into His eternal rest.