"I know you've been around these threads before, so you must know what the Church teaches by now even if you reject it, "
Yes I have been around. But I must confess, trying to get one's head around Catholic theology at times feels like arm wrestling an octopus.
""Temporal Punishment," Every sin has two punishments attached to it. one called the eternal and the other the temporal. Let me explain by an example. If 1, turning highway robber, waylay a man, beat him and steal his watch, I do him, as you see, a double injury, and deserve a double punishment for the twofold crime of beating and robbing him."
This idea of temporal and eternal punishement seem like a way of giving lip service to "free forgiveness" but still allowing the Church to extract the penalty from your hide! It's like you want to take one sin and turn it into two. God will forgive you for one, but your going to pay us for the other.
"requires us to make restitution for that of which the sin has deprived Him."
What in the world do you think Jesus died to pay for???
It may seem that way to you but it's really perfectly logical and just.
Let's say someone steals something from you, let's say your statue of the Blessed Virgin Mary that is on your front lawn, (just trying to lighten things up). A short time later the thief feels remorse, he returns to your home, admits his crime and begs your forgiveness. You agree to forgive him, you get on the phone to the police right away and tell them that you don't want to press charges. The repentant thief thanks you and begins to walk away. Now, what do you do, just let him walk away? Of course not, you say, "hey, you still have to bring back my statue!"
Does this demand of the thief somehow lesson your gift of forgiveness? Somehow lessen the gift of not having him arrested and put in jail?
If you never required him to return the statue, do you think he would be less likely or more likely to appreciate your forgiveness? Don't you think he may start to think -"Oh stealing from this guy is no big deal, not only does he not have me arrested, he doesn't even want me to give back what I stole, he doesn't even care about what is rightfully his, it can't be that valuable."
Do you think he may be less likely or more likely to steal again, if he is never required to give back what he steals?
You do hang around a lot and I would like to think that the Holy Spirit is working in you and you are fighting it. I would invite you to attend the inquiry period of an RCIA class. You make no commitments and you get the whole thing presented to you in person.