And who brings you to repentance?
And once you are brought to life, are you not secure from dying (again) since Christ paid for your sins?
And where does it say that after you have been born again that you can die? Can the angels die?
Who exactly was Christ addressing in John 8:24 according to the Reformed theology? The saved or the reprobate?
Well who do YOU think its address in John 8? It's certainly not the saved.
The Lord desires that we come to repentance (2 Pet 3:9), but we must come on our own free will (Isa 30:15-16). He offers, we accept or reject; we come to Him or we flee form Him.
God desire that all men be saved, but some do not accept His offer. Repentance leads to salvation and repentance must be free to be true and it must be shown by deeds (sure sounds like works based) according to Acts 26:20, Luk 3:8, Mat 3:8.
In Acts 11:18, God has granted a chance to repent even to the Gentiles (i.e. to all humans), not just the Jews.
And where does it say that after you have been born again that you can die
You can fall away. Every time you sin and do not repent you fall away, even if you don't think you do. In sin you separate yourself from God and form Life.
Well who do YOU think its address in John 8? It's certainly not the saved
To the Pharisees, of course, but assuming you mean the "reprobate" I say baloney: in the deformed theology of the Reformation, the reprobate are already dead! So the words "you will die" in John do not apply to the reprobate because they are already dead! He is speaking of those who are actually alive (because only those who are alive can die!)—the believers who continue to sin but fail to repent and show repentance through works (probably most of the "Paulines" who believe they are safe no matter what).