Church-ology (the study of the church)

Churchology (formally known as Ecclesiology), is the study of the church. The core question that is trying to be answered is "What does the Bible say about Church?". This question can be broken down in many ways, here is a short list of the basic questions I hope to find answers to.

What does the church do?

• Teach (Exegetically through scripture, topical, combination, other?)
  
• Evangelize (find and tell lost people about Jesus)
  
• Good works (help the poor for example)
• Other things?
  

Should the church be organized?
If yes, then How should the church be organized?

• Committee of elders
• One primary leader
• Combination
• lead by the congregation (voting)
  

Should we have leadership?
If yes, then how should leadership lead?

• Do what I say or leave
• By example
• do whatever you want, just let me talk.
  

What is the purpose/job description of leaders?

• able to teach
• self controlled
• young/old christian
• male/female