Yes. We have free will but most Calvinists oversimplify and don't understand it.
Calvinism or Reform theology may be the closest conventional systematic theology to the truth BUT it is still too simplistic even though it is rightfully more complex than Open Theism, or Wesleyan or Arminian or any semi-Pelagian view... or the heretical universal reconciliation (which is cookie-cutter demonic deception).
The problem here is that the simple answer is the wrong answer.
Freewill and soteriology are two very distinct subjects.
Yes. We are elected by God.
The prescient view of election or the semi-Pelagian view of election isn't election at all..
it is foreknowledge of self-election which gives credit to the sinner rather than all of the credit to God.
The Augustinian view of election is the only correct view of election... but the question is "how?"
Calvinists (or Reform theologians) as complex and as many distinctions they (often properly) make.... still have an overly simplistic view of freewill.
They often believe in limited free will due to sinful nature.
Their simplistic understanding is that humans have a will that is governed by a sinful nature.
There is really no such thing as limited free will. Either the human will is controlled by the mind or it isn't. Either it is free free will or it is NOT free will.
Freewill is the internal ability of the mind to freely choose between two or more options.
The problem is that you need to clearly see and understand those options before you will WANT to choose them.
You can also have carnal wants of the flesh and pride that condemn you and/or hold you back.
Sometimes you need to be humbled.
God's Holy Spirit is necessary for the believer to WANT to surrender your life to Jesus Christ in the truth of His Deity.
There are all sorts of circumstances of poverty and fear of death or innocent childhood or youth that make us more ripe for the gospel. We need to humble ourselves like little children in humility before God... all of the circumstances in our life can motivate us prompted by the internal call or conviction of the Holy Spirit
The keyword in the OP is the word "predestined" and what does it mean. If I remember in Greek it is marking or laying out borders...or land territories beforehand.
But God's determination involves a synergism of all human free will and when we were born and where and who raises us and how long we live, what and who we come in contact with, etc.
God elects us through both His Holy Spirit's conviction and the sum total of all circumstances.
It's not that we are dead like a corpse (that's what many Calvinists get wrong with their analogies) but rather we are spiritually dead and SEPARATED out of fellowship with Holy God and we need to spiritually see and spiritually hear this. We are separated (death) and blind and deaf. We need to be enabled to be able to see the light of the gospel of Jesus Christ. In this way, we will WANT to choose God if we are humbled in our hearts like a child. Then we become born-again.
It's God's work (salvation) but it is a synergistic monergism and not just a monergism regardless of circumstances.
and God allows those and knew them before they happened.
This is a huge topic that can't be answered in a Facebook comment... because the simple answer on this topic and how we are elected...would be the wrong answer.
Sure we can simply say "election."
But that doesn't address "how?" we are elected through the sum total of all circumstances and through the enabling of the Holy Spirit to see the truth of the gospel.
Freewill and salvation are really two different subjects.