What does a team mean? Should all members of the team be equally handled/treated or should it be person to person?

treating others equally will help the TEAM operates in a smooth, creative manner with all employees satisfied and productive. 
This means giving respect to every worker as you strive for an atmosphere of fair, proactive and equal treatment by insisting on an open, honest environment focused on clear communication and prompt responses to all employee concerns. 
 As what the dictionary defined TEAM as A group of people with a full set of complementary skills required to complete a task, job, or project.
Which operate with a high degree of interdependence, share authority and responsibility for self-management, are accountable for the collective performance, and (work toward a common goal and shared rewards(s).
A team becomes more than just a collection of people when a strong sense of mutual commitment creates synergy, thus generating performance greater than thes um of the performance of its individual members.
 

A team is the sum of all parts.
As the cliche goes - a chain is as strong as its weakest link.
It is best to handle the team in2 parts: individual (appraisal time and when there is an issue) and as a team (regular team meetings).
Impart in each member the importance of 'ownership'.

A team is like a vehicle. If any simple part is missing, it cannot be moved any inch forward. If the driver of the vehicle is a manager of a team,  Engine is a team leader and other parts like wheels and tyres are team members. And the most important thing which we think is not important ''motivation which gives team energy'' is substituted  by petrol/gasoline.

Team is a sophisticated concept. It should be led or handled with ideas, expertise and care. Each parts are equally important as if a BMW car cannot be driven if it does not have fuel.

The team is group of people bound together by a profession or a hobby or a study to work in cooperation with each other to achieve the goals have been placed on them by the team leader or manager Bidder or reflect the company's business plan And should not be distinguished between the team members in the treatment except in two cases:1 - dereliction one of the members in carrying out his duties should be the team leader or manager responsible for them to account defaulting either morally or physically or both by what the size of the damage caused to the work on the team and so as not to adversely affect the rest of the team members and broadcasts, including the spirit of cowardice and laziness.2 - genius or the superiority of either members of the team should be a team leader or manager in charge mention for what he has done in front of the team and motivate one of the ways the moral or material which dates back to the team was positive and dedication to work and infuse in them the spirit of optimism and creativity.

As has been the definition of total quality management for it style collaborative performance and achievement depends on the capacity and talent co-workers in order to improve productivity and quality through work teams, and with the rapid development of technology and means of communication, and the globalization of Management Thought, and the globalization of organizations there is still interest in the involvement of all workers in the industry successand give them a wider range of freedom to work and act, and take responsibility, and to encourage self-monitoring.