On the 'Faith' part you mentioned .
Romans 5.1
1¶ Therefore being justified by faith , we have peace with God through our Lord Jesus Christ:
Obviously when we see " therefore " we check to see what it is ' there ' for .
So we see Justified by faith .
Ok whos faith ? Well let's see ..
Romans 4
5¶But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness.
13¶For the promise, that he should be the heir of the world, was not to Abraham, or to his seed, through the law, but through the righteousness of faith .
16¶Therefore it is of faith , that it might be by grace ; to the end the promise might be sure to all the seed; not to that only which is of the law, but to that also which is of the faith of Abraham; who is the father of us all,
19And being not weak in faith , he considered not his own body now dead, when he was about an hundred years old, neither yet the deadness of Sara's womb:
20He staggered not at the promise of God through unbelief; but was strong in faith , giving glory to God;
21And being fully persuaded that, what he had promised, he was able also to perform.
22And therefore it was imputed to him for righteousness.
23¶Now it was not written for his sake alone, that it was imputed to him;
24But for us also, to whom it shall be imputed, if we believe on him that raised up Jesus our Lord from the dead;
25Who was delivered for our offences, and was raised again for our justification.
A distinction must be dawn between "Human Faith" and "God given Faith"... at this point I am sure I have already lost you. However, if "Faith" is the gift of God, (Eph. 2:8), then one exercising this "Faith" has already been Justified before God. Faith and believing, in this case, are one and the same. In other areas of Scripture, "Faith" relates to the "system of faith".
I fear you are not able to receive the point that was being made. Simply, we are not Justified before God by faith:
5¶But to him that worketh not, but believeth on him that is justifying the ungodly,
his faith is counted for righteousness.
Who is the one Justifying? It is God. The portion of the Scripture, that states ..."his faith is counted for righteousness." Again needs a long hard look in the Greek. It should read "...his faith is being taken into account because of righteousness." In other words, his believing (Present Active Participle, his believing is active in the mind), is taken into account (Present Passive Indicative, someone else is taking his believing into account), because of (Ablative of Cause), righteousness (because this believer has already been made righteous).
I am not going to take the time to transliterate each and every verse, since I am sure, you really aren't interested in this information. Let's just say that, if you look at your own verses given as proof texts closely, you will see the point from the earlier statements. Almost all of the verses given by you, either prove that believing/ faith is because one is already Justified before God or is dealing with the one believing, coming to a sure realization, that he/she is Justified already.
I will in closing say that verse 4:24, in the King James, is an atrocious translation. Not even close.
From the Nestle text: " 24
But for us also, to whom it is being (Present Active Indicative),
reckoned (Present Passive Infinitive),
to the ones believing (Present Active Participle),
on the one having raised (Aorist Active Participle),
Jesus our Lord from the dead;
See the difference? The King James had the "reckoning" and "Believing" as if they were future tense verbs in the subjunctive mood, the mood of possibility. When the reality is, the "reckoning" and "believing" are in the present tense, in the indicative mood, the mood of reality. Therefore, it is being reckoned to the ones believing - right now, at this moment and all who will believe are have ever believed. Because they have God given faith and therefore are already Justified from Eternity.