You are there to investigate a murder. You committed a murder. Who do you think they might ask to help solve this murder? That would be YOU. So you could easily NOT solve it OR FRAME someone else. But the key point is not everything is working as intended at the moment. Key fact is you can attack either of the two guards (Junius or Bibius) at the bridge and the other won't respond.
Watch me kill Junius and Bibius just stands there calmly and then refuses to talk to me.