What do you mean by "work as before"? To me that means "restore data", which sounds like the first option. But you are not choosing that option, and seem to want to start fresh without even connecting to a Google account.
So what is your actual plan, because it's not clear to me.
I have heard of phones that don't give you the option of using them without connecting to an account, but I've never met one myself. But if you were connected before I assume you will want to be again, so why do you not want to connect (since you don't seem to have an alternative)?
And if you really don't want to connect, what happens if you start the phone without a SIM (so it can't connect)?