I think in the New Testament, it says in this passage that all food is clean. I'm not sure about the Sabbath though. I know Jesus said that the Sabbath was made for man, not man for the Sabbath.
Romans 14:13-23
Do Not Cause Another to Stumble
13Therefore let us not pass judgment on one another any longer, but rather decide never to put a stumbling block or hindrance in the way of a brother.
14I know and am persuaded in the Lord Jesus that nothing is unclean in itself, but it is unclean for anyone who thinks it unclean.
15For if your brother is grieved by what you eat, you are no longer walking in love. By what you eat, do not destroy the one for whom Christ died.
16So do not let what you regard as good be spoken of as evil.
17For the kingdom of God is not a matter of eating and drinking but of righteousness and peace and joy in the Holy Spirit.
18Whoever thus serves Christ is acceptable to God and approved by men.
19So then let us pursue what makes for peace and for mutual upbuilding.
20Do not, for the sake of food, destroy the work of God. Everything is indeed clean, but it is wrong for anyone to make another stumble by what he eats. 21It is good not to eat meat or drink wine or do anything that causes your brother to stumble.
c 22The faith that you have, keep between yourself and God. Blessed is the one who has no reason to pass judgment on himself for what he approves.
23But whoever has doubts is condemned if he eats, because the eating is not from faith. For whatever does not proceed from faith is sin.
d
Mark 2:23-28
Jesus Is Lord of the Sabbath
23One Sabbath he was going through the grainfields, and as they made their way, his disciples began to pluck heads of grain.
24And the Pharisees were saying to him, “Look, why are they doing what is not lawful on the Sabbath?”
25And he said to them, “Have you never read what David did, when he was in need and was hungry, he and those who were with him:
26how he entered the house of God, in the time of
d Abiathar the high priest, and ate the bread of the Presence, which it is not lawful for any but the priests to eat, and also gave it to those who were with him?”
27And he said to them, “
The Sabbath was made for man, not man for the Sabbath. 28So the Son of Man is lord even of the Sabbath.”