In Neal Shusterman's Unwind, what are five reasons Connor should not be unwound?

Neal Shusterman's Unwind imagines a world in which a war has been fought over abortion (the Second Civil War), after which pre-birth abortion becomes illegal. Instead, families are required to raise their children until at least age 13, and at that time they can opt to have their children "unwound." The unwinding process uses 99.44% of the body for other things (organ transplants, for example). The compromise is struck because unwinding does not destroy the body, and so it's not considered abortion in legal terms.

Connor is sixteen years old when his family decides he should be unwound. He runs away. There are a number of reasons why Connor, individually, should not be unwound.

1. Connor is a kind individual who is willing to put himself at risk to save and protect others. Even though a cop car is driving by, he retrieves a storked baby from a porch in hopes the child will not be another victim of unwinding.

2. Connor exhibits a number of skills throughout the book. He's talented at fixing cars and other broken items. This fact also serves as a metaphor, since the very concept of unwinding suggests a world in which children who are broken are disposed of rather than taught and loved.

3. Connor is an organized and capable leader. He brings together other runaways and creates a unit in which they work together.

More generally, there are reasons that no child, including Connor, should be unwound.

4. Society has convinced itself that unwinding is not murder. The headmaster of Risa's school says this:

Please, Miss Ward. It's not dying, and I'm sure everyone here would be more comfortable if you didn't suggest something so blatantly inflammatory. The fact is, 100 percent of you will still be alive, just in a divided state.

In reality, taking apart a human body and redistributing the pieces may keep the flesh alive, but the person inside, the indelible soul, will be gone. Simply stated, unwinding is murder and shouldn't be legal, much less a reality for Connor.

5. Teenagers are fragile and going through a period of growth in their lives. This is a time when people should make mistakes, learn, and grow into the adults they'll be someday. To take Connor's life simply because he likes to do things his own way robs him of the opportunity to turn into a productive member of society.

1. Connor is useful as a whole person. Once Connor gets to the Graveyard, he proves his natural intuitiveness with mechanical items. He is placed on the repair crew and quickly becomes the go-to guy to fix broken items. 
2. Connor is a natural leader. This is probably the main reason why Roland fears Connor. Roland knows other Unwinds are naturally drawn to Connor, and they listen to him. Unwinds follow Roland because they fear him. Unwinds follow Connor because they like and respect him. 
3. Connor is protective of human life, as evidenced by his rescue of the storked baby. He doesn't know what he is going to do with the baby, but he knows he must do something to protect it. 
4. Connor is willing to put his life on the line for the safety of others. He does this for Lev even when Lev doesn't want to be saved. 
5. Connor has a strong moral compass. Connor might be rebellious and stubborn, but he knows right from wrong. It's why he saves Lev, rescues the baby, saves the Admiral, stands up to Roland, and becomes the new Graveyard leader.
6. A retroactive abortion is still an abortion.This reason only works, though, if you believe abortion is wrong. 

Why wouldn't you want Connor from Neal Shusterman's Unwind to be unwound?

I would not have Connor unwound because it is murder.  

The society Connor lives in thinks that an unwound child is still alive, but the child is alive in various pieces. That thought has become commonly accepted, and the headmaster is shocked when Risa suggests her unwinding is the equivalent of death. She tells Risa,

Please, Miss Ward. It's not dying, and I'm sure everyone here would be more comfortable if you didn't suggest something so blatantly inflammatory. The fact is, 100 percent of you will still be alive, just in a divided state.

The citizens probably believe this lie because it is stated in the "Bill of Life."

The process by which a child is both terminated and yet kept alive is called "unwinding."

Chapter one even begins with an Unwind stating he believes that he will actually get to live on after being unwound.

I was never going to amount to much anyway, but now, statistically speaking, there's a better chance that some part of me will go on to greatness somewhere in the world. I'd rather be partly great than entirely useless.

No matter what the society calls it, though, unwinding is murder. I believe that because I believe abortion is murder, and the Bill of Life states flat out that unwinding is a "retroactive abortion."  

Other than my moral stance about unwinding, I would not want Connor unwound because he is a decent person. I will admit Connor has problems with authority figures, but that doesn't mean he should be killed. Connor wants to do things his way without causing anyone else any problems. Contrast him with Roland, who will hurt and betray anyone who stands in the way of his goals. Connor is not that person. He knows right from wrong, and he values human life. His rescue of the storked baby is solid evidence of that fact.  

Connor is also an extremely skilled teenager. He might not be a college-bound student, but that doesn't mean he should die. Once he is at the Graveyard, Connor shows a natural propensity for fixing broken things. He's a great mechanic. The world needs people with those kinds of skills. Connor should not be unwound because he is more valuable to his society as whole person rather than in pieces.