HELP PLEASE! DS3231 RTC clock won´t work (and I need it to work asap for a college project)

The thing that I said about thinking that I got ripped off, comes from how Koepel explained that I got sold a cheap component for double its price, (but I can´t do anything now to change that so it´s okay).
I believe the RTC works, because it shows the date and time (not the right one but I´ll try to change that), but now I´m trying to use the new library recommended.
What difference would it make having the battery that comes with the rtc on or off?

Thanks for making it a bit easier for me, i was getting a little overwhelmed tbh hahah