If everything has a purpose then evil doesn't exist

[R-Farmer]

And if there is no free will?

Nothing in the Bible ever says we have free will. In fact the doctrine of free will was not adopted by the church for several hundred years after the life and ministry of Christ. Jesus and the Apostle Paul (responsible for 2/3s of the NT) both say we are slaves to sin. A slaves will is never free. It is always subject to the will of his master.

We at best have the freedom to choose. Like A serve God and righteousness or B Remain in service to sin and satan. Free will would be the ability to choose a third option C neither serve God nor satan. To be left alone for eternity. or D to just wink out of existence. no pain no hell. But again we do not have these options because we do not have free will but rather the freedom to choose between the options our master has given us.

If you serve God you get to make quite a few more choices than if you serve sin and satan.

Freedom to choose is what free will IS.

if you can't see how the word free choice is being used here then let go with compelled choice, that you are free to choose either one of the 2 compelled options. Because I am not describing what you are. We have to choose one or the other even if the choice is made by default.