On the subject of the Sabbath:
Mark 2:23 Now it happened that He went through the grainfields on the Sabbath; and as they went His disciples began to pluck the heads of grain. 24 And the Pharisees said to Him, “Look, why do they do what is not lawful on the Sabbath?”
25 But He said to them, “Have you never read what David did when he was in need and hungry, he and those with him: 26 how he went into the house of God in the days of Abiathar the high priest, and ate the showbread, which is not lawful to eat except for the priests, and also gave some to those who were with him?”
27 And He said to them, “The Sabbath was made for man, and not man for the Sabbath. 28 Therefore the Son of Man is also Lord of the Sabbath.”
Luke 13:
10 Now He was teaching in one of the synagogues on the Sabbath. 11 And behold, there was a woman who had a spirit of infirmity eighteen years, and was bent over and could in no way raise herself up. 12 But when Jesus saw her, He called her to Him and said to her, “Woman, you are loosed from your infirmity.” 13 And He laid His hands on her, and immediately she was made straight, and glorified God.
14 But the ruler of the synagogue answered with indignation, because Jesus had healed on the Sabbath; and he said to the crowd, “There are six days on which men ought to work; therefore come and be healed on them, and not on the Sabbath day.”
15 The Lord then answered him and said, “Hypocrite! Does not each one of you on the Sabbath loose his ox or donkey from the stall, and lead it away to water it? 16 So ought not this woman, being a daughter of Abraham, whom Satan has bound—think of it—for eighteen years, be loosed from this bond on the Sabbath?” 17 And when He said these things, all His adversaries were put to shame; and all the multitude rejoiced for all the glorious things that were done by Him.
And again
Luke 14:1 Now it happened, as He went into the house of one of the rulers of the Pharisees to eat bread on the Sabbath, that they watched Him closely. 2 And behold, there was a certain man before Him who had dropsy. 3 And Jesus, answering, spoke to the lawyers and Pharisees, saying, “Is it lawful to heal on the Sabbath?”
4 But they kept silent. And He took him and healed him, and let him go. 5 Then He answered them, saying, “Which of you, having a donkey or an ox that has fallen into a pit, will not immediately pull him out on the Sabbath day?” 6 And they could not answer Him regarding these things.
Clearly working for the good of others, taking care of animals and generally showing the love of the Lord on the sabbath were commended and approved by Jesus. Not working on the sabbath was a man's law and tradition.