The term, 5-fold ministry is a bit of a misnomer, although that is not really important.  The important thing is obedience to the Spirit of God as He reveals the order in the Scripture.  The apostle is an office.  The other four, prophet, evangelists, pastor, and teacher, are all ministries.  These four ministries are linked to the office of the apostle, though they can exist on the local Church level without the apostolic office. 

There are apostolic elders and apostolic deacons.  There are elders (plural) and deacons (plural) in the local churches who are set by apostles and are in submission to the apostles.  

An apostle must be set by God.  No one can appoint himself to the office of the apostle.  It is NOT an office that glorifies the individual now, any more than it was in the early days of the Church.  There is no such thing as a maverick apostle or a chief apostle, just as there is no such thing as a chief local elder.  The apostles are in submission to each other and the local elders are in submission to each other and to the apostles.  All are in submission to Jesus Christ and the Divine pattern laid out in Scripture and revealed by the Holy Spirit.  Apostles have authority over the Church Universal.  Local elders pastor (care for as a shepherd) the local Church.  Deacons on both levels are spiritual ministries who work at the direction of the elders with whom they are set.  The one-man ministry of pastor in the local Church is non-existent in the local churches. It certainly does not exist in Scripture.