Criminal Sentences: Is it right to sentence people to death or life imprisonment

If a person is a vicious murderer, kills children, murders a whole family, and kills a police officer, he or she should be executed. You have to realize that some people are so based they cannot be reformed. If they were put into prison, they'd wait until they got out and go and murder again and enjoy the sufferings of the victims' relatives. A person who perhaps killed someone and felt remorse afterwards, a life or near life sentence would suffice. We are not law officers or have experience in that matter, but someone in the field does know whether the killer truly felt remorse or was just conning us to thinking he was truly sorry.

I think if someone, for example, takes somebody's life then that person should be imprisoned for their remaining years without the possibility of being released. I think however for first offenders who shop lift and such equal crimes should not be dealt with by putting them in prison as this will solve nothing and may even put them into a situation where crime is talked about as being something that is accepted.