Question two has nothing to do with what you personally have referred to per se since your return to this forum. However, if I recall correctly from your last visit, you did not believe God's saving grace is effectual. Hence, the the question. You do acknowledge that God "enables" people to come to Jesus, but do people have the power to wreck that "enabling power" of God. Can they in fact, successfully resist God's giving and his drawing of them to the Son, and thus have the last word in their eternal destiny?
Re question 1: Jesus in Mat 11:28 issues an invitation for spiritual rest, which I take as an offer of eternal salvation but I stand to be corrected if you understand the text differently and you can make a compelling case that opposes my view. Anyhow...this invitation begins with "COME to ME all you who are weary and heavy burdened...". Do you think Jesus meant in this text that those who are qualified to come to him (Jesus himself qualified the offer with his words I highlighted!) that they come in faith? If not, then what kind of rest exactly was Jesus promising if not eternal rest in the visible kingdom that is coming?
Yes, all folks are created in God's image, which means having moral free will, and thus are enabled by God to either cooperate with His POS or (ship)wreck their destiny, and the following lament is for the latter souls, (which I copied from the Apologetics thread):
I conclude the logical reasoning for choosing to have faith in Jesus that I have shared in this thread with a lament for Jerusalem (atheists per JN 8:42-47) cited by both Jesus and Paul when they were frustrated by the dearth of converts to their preaching of the Gospel.
Lament for Jerusalem
“You will be ever hearing, but never understanding,
You will be ever seeing, but never perceiving,
For this people’s heart has become calloused;
They hardly hear with their ears,
And they have closed their eyes.
Otherwise they might see with their eyes
Hear with their ears,
Understand with their hearts,
And turn, and I would heal them.”
(Matthew 13:14-15 and Acts 28:26-27, quoting Isaiah 6:9-10,
cf. Matthew 23:37 )