Does the Marriage Covenant for Christians Create a Christian Household?

I plan to answer the following questions:
1. What is a covenant?
2. What is the marriage covenant?
3. What responsibility does a husband and father have for his wife and children?
4. Does God promise that for a household with at least one Christian parent all the children are Christians?
5. How is a household with at least one Christian parent distinct from a household with no Christian parents?
6. How does the way Baptists think about a fitting age for baptism and the Lord’s Supper relate to how Baptists think of the household?
7. So does the marriage covenant for Christians create a Christian household?