Yes you should

You have to manage this situation (if you take this job and your future career seriously), you should try to minimize the damage to yourself. It's very delicate to do, you want to avoid 越描越黑, you want to keep it straight.

Just go to your supervisor, and say sorry, and promise you'll take good care in the future. Don't say anything else.

In any case, the working environment there is indeed very unfriendly (I don't think so, people hire you to work there, not for any other purposes, if they really hate you, why they bother hire you and pay you?), your only solution is try to find another job.

But no matter where you go, skills on this kind of damage control are important. It's tough to get started, and it's wise to find people around you who are willing to guide you through things, don't assume each person likes to do that, and don't assume you can handle it all with NOBODY on your side. It's art.