Upvote:2
Both the Gospels and the Epistles repeatedly establish the New Covenant as a non-legalistic relationship with God --a new relationship not founded in following specific rules.
However, as Paul says, not everything that is allowed is beneficial. As a Christian, you need to be guided by your relationship with Christ and by a spirit of discernment to understand what is and is not beneficial to your mission of being an instrument of God's love in the world. Unfortunately sometimes Christians do disagree strongly with each other on moral issues --that's just a fact of life.
In specific regards to stoning, we have additional guidance in the form of two mentions of the practice in the New Testament. Once, when Jesus is invited to join in the stoning, and is instead merciful, and the other time, when Stephen becomes the first Christian martyr though being stoned to death by friends of Saul/Paul. Both of these passages guide us towards rejecting stoning and the judgment that it represents. (Some Christians, including myself, view it as guiding us away from capital punishment in general, but this is controversial).