So you had time to review it before the interview. You went to the interview knowing that the document was misleading. Your chance was the interview. Go in and say “there are some things about the form that I’ve submitted that I need to correct.” So again, no, you didn’t have to go along with that.
Now, onto your question, whether to reapply or not, I wouldn’t unless your ties to home country significantly change, and you’re 100% honest about your trip. And that’s not even a guarantee, since by law DHS has to assume immigrant intent