First of all, there's no dichotomy between a person forgiving someone and a nation's criminal justice system operating
rendering your entire argument fallacious.
We do not have to immediately shut down all of our courts and let everyone go free no matter what they've done to continue a life of assaulting, robbing, raping, and murdering innocent people so we can be as forgiving as Jesus taught because that certainly is NOT what Jesus taught.
Secondly, the context of the scriptures you're referring to is that Christians need to be ready to forgive
a fellow Christian not just seven times but seventy times seven (Mt 18:21–22 par. Lk 17:4).
Let's answer Kenneth's quiz in context without any logical fallacies:
Q: Did Jesus put a limitation on how many times to forgive a person, or by His example did He show that their is an unlimited amount of times to forgive a person?
A: The question is logically flawed. You'll need to reframe the question so that it doesn't violate the law of non-contradiction (e.g. something cannot be both true and not true at the same time when dealing with the same context). But I'll answer it in the manner I know you intended. Jesus answered Peter's question that one should forgive
a brother or sister in Christ seventy times seven. There are many other verses on forgiveness as well; however, they are not in contradiction with legitimate governing authorities executing a murderer for the crime of murder. Read this:
Did Jesus Support Capital Punishment? by Andrew Tallman – Bible Study Tips
Q: Did Jesus tell us the will of God working in our lives is to go and minister to them?
A: Yes. Again, there is no dichotomy.
Q: Could one be kept in prison for the rest of their life, and not be put to death?
A: Yes. And, one can be put to death for the crime of murder yielding many benefits to society.
Q: Where is love, and forgiveness in the death penalty?
A: It's in the extra food in the mouths of innocent people's children that aren't being taxed to support a burdensome infrastructure of housing murderers so they can't murder people. It's in the reform that occurs in the penitentiary system when the "blood in blood out" murderous gangs headed by lifer murderers are removed from controlling them. It's in the resources available to meet societal problems which help prevent young people from growing up to become murderers. There are a wide number of very desirable benefits that are loving and forgiving which result from following scripture rather than Kenneth's misconstrued liberal theology.
Q: Did Jesus say leave vengeance up to Him?
A: Justice is not synonymous with vengeance. You have confused these two concepts together and it's led you into error. God has instituted capital punishment in His Word both OT and NT and there is no higher moral standard. He loves to an infinite degree and He has mercy to an infinite degree. We also see that He has holiness to an infinite degree and wrath to an infinite degree. All is maintained in perfect balance.
Secondly, we must recognize that God has given government the authority to execute capital punishment for murder (Genesis 9:6; Romans 13:1-7, etc...). It is unbiblical to claim that God opposes the death penalty in all instances. This, of course, has zero to do with the personal vengeance you appear to have referenced in Romans which is actually Paul instructing people not to seek their own revenge, but to "give place to wrath" and that the proper channel for wrath is the "governing authorities" while on earth and God both now and eternally.
And disturbingly, you've completely omitted that Jesus affirmed the Mosaic Law even to the keeping of the "least of these commandments" (Mat. 5:17-19). He blasted the Pharisees for giving their own ideas precedence over God's commands stating, "Why do you also transgress the commandment of God because of your tradition? For God commanded, saying... `He who curses father or mother, let him be put to death.' But you say..." Mat. 15:3-4
"For laying aside the commandment of God, you hold the tradition of men..." [Jesus] said to them, "All too well you reject the commandment of God, that you may keep your tradition. For Moses said, 'Honor your father and your mother; and 'He who curses father or mother, let him be put to death.' But you say..." Mark 7:8-11
This is explained more fully here:
Did Jesus Support Capital Punishment? by Andrew Tallman – Bible Study Tips
Q: Does the NT teach to obey the laws of the land unless they contradict His?
A: Yes and capital punishment for the crime of murder doesn't contradict His.
Q: In the OT there were stoning and death penalties for sin, in the NT did Jesus show examples to not do that any more ? A: Here's the correct answer:
Did Jesus Support Capital Punishment? by Andrew Tallman – Bible Study Tips
Q: Do not judge, or you shall be judged. And the manner you judge, you will be judged by. If you make a judgment call on ones life like that, then you can expect that same judgment on you.
A: You're confused again. Here's the correct answer:
What Did Jesus Mean by "Judge Not"? | PARSE
I suggest you educate yourself Kenneth rather than continue to error so badly with God's Word. Here are a few references to help you get started with respect to this topic:
Contemporary: W. Berns, For Capital Punishment. Crime and the Morality of the Death Penalty (New York, 1981); Lord Longford, The Idea of Punishment (London, 1961); W. Moberly, Responsibility (London, 1951); O. O’Donovan, Measure for Measure: Justice in Punishment and the Sentence of Death (Bramcote, Nottingham, 1977); Punishment, Report of Working Party of the Church of England’s Board for Social Responsibility (London, 1963); J. H. Yoder, The Christian and Capital Punishment (Newton, KS, 1961).