The thing is, they are looking for improvement. If you had just been arrested once, and never again you could probably sell it off as youth. Two arrests could change things. It may make a bar question whether you are honest, reliable, trustworthy. They will question whether you are rehabilitated since the second incident was two years later.
I was cited for a fake ID at a bar when I was 20 (not arrested, but cited, and dismissed by court because the police officer did not show up), and I had to write addendums to my law school apps. My dad works for the courts and said that he met a young new attorney with the same exact situation, and nathe bar in pennsylvania made her testify in front of a committee before she could be admitted to the bar. That's for something that happened 11 years ago, with no other incidents of any kind. You should really check to see if you will be allowed to be admitted to a state bar because unfortunately, as unfair as it can seem, they take that kind of stuff seriously. Although I will say the disorderly conduct charge doesn't seem as big a deal as the petty larceny charge. They really worry about lawyers handling client funds.