Replying to Inner Moral Conflict

I consider myself to be a Christian. I believe in the teachings and gospel of the Bible, but lately I have entered a weird kind of personal moral conflict. I believe that abortion is wrong, but the Bible is clearly in support of corporal punishment, and until recently I have seen nothing wrong with the death penalty. As you can see, this is a conflicting belief. On one hand, I feel as though it's wrong to take a life, but on the other I feel as if it's justified to kill a heinous criminal. Can NSG weigh in and offer some clarification or justification, or just provide input?

I'm not here to debate the tenants of Christianity and if you believe it or think I'm stupid for doing so, just to discuss the above topic. I also realize that this is probably way to deep of a subject to succeed as a thread on NSG, just wanted some input.

TL;DR: I'm struggling to decide if the death penalty is ok while believing abortion isn't