I disagree with you, Matt, and here is why: In the book of Acts, when Judas hanged himself, the remaining apostles got together and chose, by lot, a new apostle, Matthias. One of the criteria used as a basis for choosing the pool of men from whom the apostle was to be chosen was that they had to have known Christ "from the beginning" of His earthly ministry. This is a basic qualification of an apostle. Later, in Acts, when the apostle James was martyred no replacement for him was named. If the apostles themselves did not continue to replace each apostle as they passed from this life, then they demonstrate that apostolic succession is unnecessary and non-existant. Given the fact that "being with Jesus from the beginning" is a qualification for an apostle, apostolic succession becomes impossible.
The authority of the church for faith and practice is, therefore, scripture alone. More specifically, the authority is the New Testament alone for that is the record of what Jesus said and did and it is the record of what his personally chosen representatives taught.