Hi Aineo!
For a Jewish take on Leviticus 17:11-13, see http://www.jewishpassion.com/documents/pt_leviticus_17_11.html.
You asked:
The burnt offerings were to atone for sin; what replaces this aspect of the Torah?
Like I said in my previous post, given the temporary absence of the order of offerings, we must rely on the other parts of the process in which a Jew can repent & achieve atonement. This is mainly prayer and sincere confession to God (as per both Numbers 6:7 and Hosea 14:2-3), fasting on Yom Kippur (
http://www.jewfaq.org/holiday4.htm), giving to charity (although we mustn't, of course, think that we can, in effect, bribe God) and reconciling with those whom we have wronged.
As to the sabbath rest for the land, wasn't the Babylonian captivity the result of the Jews not observing the sabbath rest for the land over the preceding 490 years?
You're referring to Jeremiah 34:14-17.
Thus says the Lord, the God of Israel: I made a covenant with your fathers in the day that I brought them forth out of the land of Egypt, out of the house of bondage, saying: 'At the end of seven years you shall let go every man his brother that is a Hebrew, that has been sold unto you, and has served you six years, you shall let him go free from you'; but your fathers hearkened not unto Me, neither inclined their ear. And you were now turned, and had done that which is right in Mine eyes, in proclaiming liberty every man to his neighbour; and you had made a covenant before Me in the house whereon My name is called; but you turned and profaned My name, and caused every man his servant, and every man his handmaid, whom you had let go free at their pleasure, to return; and you brought them into subjection, to be unto you for servants and for handmaids. You have not hearkened unto Me, to proclaim liberty, every man to his brother, and every man to his neighbour; behold, I proclaim for you a liberty, says the Lord, unto the sword, unto the pestilence, and unto the famine...
We observe as much of the pertinent laws as we can now & eagerly await the coming of the Messiah when will observe them in full.
Howzat?
Be well!
ssv